Question 1 Interpreting Confidence Intervals If theheights of men and women from the associated data files(MBODY FBODY found in the Lab 11 file) are used to construct a 95 confidence interval for the difference between the two population means, the result is 11 61 cm Express the confidenceinterval with the heights of women being population1 and the heights of men being population 2 Choose the correct confidence interval below Group of answer choices 17 32 17 32 11 61 11 61 Question 2 IQ and Lead Exposure The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people with high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 21,x 86 90476,s 8 988352 Are the samples in this case independent meaning we should use a 2 sample Independent T Test or are they dependent samples meaning we should use a Matched Pairs Design Group of answer choices Independent so 2 Sample Independent Design Dependent so a Matched Pairs Design Question 3 IQ and Lead Exposure Step 1 The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people with high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 21,x 86 90476,s 8 988352 Fill in the blanks to complete Step 1 The hypotheses H012 Select 57 , 57 , 0 , 50 H112 Select greater than , less than , not equal to Select 57 , 57 , 0 , 50 where1isthe mean from the low lead level group and2is the mean from the high lead level group Question 4 IQ and Lead Exposure Step 3 Checking the Requirements The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics are for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 33,x 86 90476,s 8 988352 For each of the requirements necessary for this test, choose the correct answer indetermining if the are met or not 1 ) The population standarddeviations are not equal This requirement is met We can use the sample standard deviations to help gauge if the population standard deviations are equal True False Select True , False 2 ) The samples are independent True False Select True , False 3 ) Both samples are random samples True False Select True , False 4 ) The sample sizes are both larger than 30 True False Select True , False Question 5 IQ and Lead Exposure Step 4 Calculations The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics are for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 33,x 86 90476,s 8 988352 1 Find the value of the test statistic and p value following the instructions below a) Press STAT scroll to TESTS select 2 SampTTest (option 4 in TI83Plus) press Enter (for a hypothesis test of a claim involving two populations b) Enter the following Inpt Stats (The statistics are given above) x1 sample mean from the low lead level group Sx1 s ample standard deviation from the low lead level group n1 s ample size from the low lead level group x2 sample mean from the high lead level group Sx2 s ample standard deviation from the high lead level group n2 s ample size from the high lead level group Choose thecorrect direction of the alternative Pooled Choose NO c) Highlight Calculate and press ENTER make note of the calculations as you will needthem below Enter the value of the T Test statistic Round to two decimal places if necessary T Question 6 IQ and Lead Exposure Step 4 Calculations The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 33,x 86 90476,s 8 988352 1 Find the value of the test statistic and p value following the instructions below a) Press STAT scroll to TESTS select 2 SampTTest (option 4 in TI83Plus) press Enter (for a hypothesis test of a claim involving two populations b) Enter the following Inpt Stats (The statistics are given above) x1 sample mean from the low lead level group Sx1 s ample standard deviation from the low lead level group n1 s ample size from the low lead level group x2 sample mean from the high lead level group Sx2 s ample standard deviation from the high lead level group n2 s ample size from the high lead level group Choose thecorrect direction of the alternative Pooled Choose NO c) Highlight Calculate and press ENTER make note of the calculations as you will needthem below Enter the value of the P Value Round to three decimal places if necessary P value Question 7 IQ and Lead Exposure Step 4 Conclusions The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Use a 0 05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 33,x 86 90476,s 8 988352 Based on the T score and the p value, fill in the blanksbelow to draw the conclusion Since the p value is Select greater than , less than the significancelevel of 0 05, we would Select reject , fail to reject the null hypothesis This would mean that there Select is , is not asignificant difference in IQ scores between people with low lead levels and high lead levels Question 8 IQ and Lead Exposure Confidence Interval The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Build a 95 Confidence interval to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Low Lead Level n 78, x 92 88462,s 15 34451 High Lead Level n 33,x 86 90476,s 8 988352 2 Find the 95 confidence interval a) Press STAT scroll to TESTS select 2 SampTInt (option 0 in TI83Plus) press Enter (for a hypothesis test of a claim involving two populations b) Enter the following Inpt Stats (The statistics are given above) x1 sample mean from the low lead level group Sx1 s ample standard deviation from the low lead level group n1 s ample size from the low lead level group x2 sample mean from the high lead level group Sx2 s ample standard deviation from the high lead level group n2 s ample size from the high lead level group Pooled Choose NO c) Highlight Calculate and press ENTER make note of the calculations as you will needthem below Enter the values of the confidence interval below here Round each value to two decimal places The 95 confidence interval ( , ) Question 9 IQ and Lead Exposure Confidence Interval (cont) The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood The statistics for these groups are summarized below Build a 95 Confidence interval to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels Fill in the blanksbelowto interpret the confidence interval Based on this sample, we are Select 95 , 5 , 1 , 99 confident that the true difference in population mean IQ scores betweenthe low lead group and the high lead group is between 1 34 and 10 62posts Since Select 0 , 5 , 5 is Select in , not in in the interval, the sample evidence indicates a difference in IQ scores between the two groups Question 10 Do Men and Women Have the SameMean Body Temperature Consider the sample of bodytemperatures (F) listed in the last column of the file BODYTEMP The summarystatistics are given in the table below Use a 0 01 significance level to test the claim that men and women have different mean body temperatures Body temperatures are given in degreesFahrenheit Men n 15, x 98 38,s 0 45 Women n 91,x 98 17,s 0 65 Upload work demonstrating all 5 completed steps for the hypothesis test The 5 steps should match the steps in the example posted in the example here Hypothesis Testing in 5 Steps pdf Download Hypothesis Testing in 5 Steps pdf Use the first 9 questions of this lab as a guide Full credit will only be given for a completed test with all 5 steps For step number 2, write in words T Test statistic for 2 independent samples or copy the statistics from the Powerpoint Female Body Temperatures AGE PULSE SYS DIAS HDL LDL WHITE RED PLATE WT HT WAIST ARMC BMI 60 78 122 60 74 140 9 6 4 70 317 59 3 163 7 82 3 27 5 22 13 24 80 120 64 56 142 7 1 4 64 224 74 5 165 5 88 5 30 0 27 20 49 68 90 48 70 72 7 5 4 61 248 77 7 163 1 94 9 34 4 29 21 62 56 150 80 40 164 6 8 4 09 309 97 9 166 3 111 8 38 7 35 40 53 76 132 58 67 109 5 6 4 36 335 71 7 163 6 86 5 32 2 26 79 18 78 88 52 96 93 5 4 4 64 278 60 9 170 9 78 4 26 7 20 85 41 78 100 60 43 122 6 7 4 98 312 60 5 153 5 81 7 30 5 25 68 21 90 114 72 80 116 8 6 3 76 338 88 2 155 7 111 2 36 9 36 38 21 96 94 54 77 84 10 2 4 30 290 43 8 153 0 79 2 23 2 18 71 19 60 100 54 41 55 4 1 4 66 236 47 9 157 0 63 4 22 6 19 43 19 98 110 74 23 115 13 0 5 66 310 126 6 163 7 103 8 40 5 47 24 58 66 188 0 76 98 9 2 4 71 460 64 8 161 3 90 4 29 0 24 91 44 100 106 74 39 139 5 9 4 81 317 75 6 168 6 93 6 32 1 26 60 52 76 130 76 52 122 8 0 4 95 304 81 0 156 4 111 8 32 8 33 11 48 64 126 76 38 100 7 0 4 32 239 72 8 159 4 97 2 31 9 28 65 36 82 90 56 37 99 9 1 4 35 243 67 3 164 2 83 9 30 8 24 96 48 62 168 90 57 131 5 7 3 93 351 58 0 169 0 80 3 26 7 20 31 34 72 110 66 81 59 4 6 4 69 242 107 8 161 6 120 6 40 7 41 28 22 78 98 60 37 90 6 0 4 66 217 54 1 161 1 80 5 25 2 20 85 61 74 112 70 50 130 5 7 5 26 173 59 6 150 8 97 1 29 7 26 21 21 90 116 66 73 144 8 9 4 23 228 48 9 166 6 79 7 21 6 17 62 33 90 128 72 61 84 6 4 4 81 259 115 7 175 7 119 9 39 9 37 48 32 68 116 72 33 112 8 1 4 50 193 75 3 169 0 96 3 32 0 26 36 37 72 112 66 41 128 7 9 4 36 417 114 9 160 5 124 4 43 2 44 60 19 82 126 60 60 107 4 4 4 68 193 60 0 159 1 74 5 29 4 23 70 51 72 94 60 62 209 4 9 4 64 244 67 3 166 7 83 8 31 0 24 22 35 78 120 78 67 77 5 3 4 01 266 77 3 151 5 94 0 37 2 33 68 18 104 94 32 79 39 5 3 4 11 286 49 7 156 2 71 2 24 2 20 37 60 62 120 76 64 85 4 7 4 37 206 58 4 148 7 90 7 30 0 26 41 58 72 148 62 44 162 9 8 4 66 426 82 2 168 3 103 6 33 4 29 02 60 72 126 76 42 111 5 3 4 89 244 79 5 159 6 98 3 36 4 31 21 48 88 126 72 41 104 4 9 4 35 295 80 3 165 9 96 6 33 0 29 18 31 74 112 72 44 192 6 3 4 56 282 56 4 147 6 79 1 29 5 25 89 29 72 120 78 57 110 5 4 5 10 211 64 3 165 4 85 7 31 0 23 50 46 82 110 76 69 123 7 0 5 30 355 102 1 159 8 119 6 39 5 39 98 18 78 98 66 60 70 13 5 4 83 357 62 3 158 5 83 2 30 6 24 80 50 78 130 72 47 155 10 0 4 65 272 74 6 165 6 97 5 31 0 27 20 20 98 114 54 67 108 10 3 4 29 251 116 3 164 9 140 0 35 5 42 77 56 72 174 86 55 158 5 1 4 40 219 92 6 172 0 109 0 39 0 31 30 18 64 108 58 82 50 6 6 4 26 234 65 0 170 2 81 8 27 5 22 44 Male Body Temperatures AGE PULSE SYS DIAS HDL LDL WHITE RED PLATE WT HT WAIST ARMC BMI 18 60 132 68 44 213 8 7 4 91 409 64 4 178 8 81 4 28 4 20 14 20 74 120 68 41 88 5 9 5 59 187 61 8 177 5 74 8 26 8 19 62 43 86 106 84 71 174 7 3 4 44 250 78 5 187 8 84 1 32 3 22 26 39 54 104 60 41 121 6 2 4 80 273 86 3 172 4 95 5 39 0 29 04 60 90 122 80 57 124 5 9 5 17 278 73 1 181 7 90 1 29 4 22 14 18 80 122 62 50 99 6 4 5 24 279 58 5 169 0 69 8 28 7 20 48 57 66 126 78 60 114 3 9 4 51 237 134 3 186 9 137 8 42 8 38 45 27 68 118 60 47 122 6 4 4 77 200 79 8 183 1 94 4 32 0 23 80 20 68 110 40 44 112 9 8 5 02 209 64 8 176 4 74 2 29 2 20 82 18 56 96 56 33 67 4 0 5 10 203 58 1 183 4 69 9 26 2 17 27 63 80 114 76 48 108 3 8 4 45 206 76 1 169 6 95 2 32 0 26 46 20 62 128 78 46 94 5 6 5 41 174 118 4 185 4 117 5 39 9 34 45 24 74 108 76 62 69 6 6 5 45 219 56 2 166 1 77 0 26 2 20 37 46 60 126 78 45 77 4 9 4 27 302 73 4 169 3 90 5 33 1 25 61 29 52 116 82 43 120 9 6 4 90 285 126 9 193 5 122 0 37 9 33 89 63 60 138 76 39 84 8 6 4 60 254 84 4 173 1 104 0 32 2 28 17 21 66 110 50 41 86 5 2 4 93 195 97 8 171 6 104 1 37 9 33 21 45 64 144 84 47 77 9 2 4 28 290 66 5 180 8 76 4 29 9 20 34 40 64 112 70 46 201 6 6 4 74 240 90 5 175 3 98 6 37 0 29 45 50 46 130 74 56 196 3 2 4 98 270 83 7 178 3 89 7 36 0 26 33 48 68 136 82 38 179 6 9 5 20 264 88 7 172 8 102 1 33 7 29 71 64 58 146 70 37 140 7 1 5 17 208 80 4 165 2 104 6 32 6 29 46 18 68 106 62 61 117 6 9 4 85 271 64 0 176 6 77 6 26 1 20 52 50 70 136 76 41 117 7 0 5 77 386 65 7 174 2 87 5 30 2 21 65 20 56 122 86 56 87 8 4 5 09 203 58 9 181 7 69 1 25 1 17 84 20 66 112 80 59 78 5 9 5 24 223 82 4 176 0 83 4 36 0 26 60 47 78 128 90 40 159 5 1 5 18 261 85 1 173 7 96 1 33 2 28 21 19 68 114 56 54 113 10 0 5 34 282 87 7 177 1 97 2 35 3 27 96 55 62 100 68 40 155 4 4 4 89 184 111 9 174 5 122 4 36 5 36 75 23 70 106 78 75 85 7 1 5 59 204 70 9 180 4 81 5 31 0 21 79 21 72 134 78 55 90 7 9 5 94 287 101 8 177 3 97 5 38 8 32 38 19 74 128 68 48 104 8 1 5 39 219 99 0 172 5 106 7 36 4 33 27 64 64 108 80 50 154 5 6 5 24 257 100 5 180 2 109 6 36 9 30 95 30 50 106 68 57 114 4 1 4 72 206 78 9 172 7 91 8 33 2 26 45 43 70 112 68 38 156 9 5 5 34 342 79 2 168 6 96 7 34 0 27 86 23 58 120 68 78 103 4 9 5 23 319 86 1 178 3 86 6 38 2 27 08 64 60 140 62 45 145 8 9 4 98 251 100 8 176 7 118 1 36 0 32 28 40 88 98 56 82 135 11 0 5 06 178 76 4 174 8 81 5 34 7 25 00 23 84 126 68 44 123 8 6 5 64 220 77 4 172 1 92 1 31 9 26 13 44 76 154 86 51 170 6 9 5 47 268 89 7 173 4 103 3 37 5 29 83 IQLEAD LEAD AGE SEX YEAR1 YEAR2 IQV IQP IQF 1 11 1 25 18 61 85 70 1 9 1 31 28 82 90 85 1 11 1 30 29 70 107 86 1 6 1 29 30 72 85 76 1 11 1 2 34 72 100 84 1 6 1 29 25 95 97 96 1 6 1 25 24 89 101 94 1 15 2 24 15 57 64 56 1 7 2 24 16 116 111 115 1 7 1 31 24 95 100 97 1 13 2 21 19 82 76 77 1 10 2 29 27 116 136 128 1 12 1 32 29 99 100 99 1 12 1 36 32 74 90 80 1 15 1 30 25 100 135 118 1 10 1 29 23 72 104 86 1 15 1 28 28 126 149 141 1 9 2 28 19 80 99 88 1 8 1 34 22 86 107 96 1 11 1 21 22 94 99 96 1 7 1 35 27 100 113 107 1 11 2 39 38 72 104 86 1 6 1 36 31 63 101 80 1 6 1 19 25 101 111 107 1 9 1 29 24 85 118 101 1 13 2 1 24 85 99 91 1 9 2 22 20 124 122 125 1 6 1 23 18 105 87 96 1 13 1 21 18 81 118 99 1 6 1 32 26 87 113 99 1 12 2 26 27 100 128 115 1 8 2 20 24 91 121 106 1 9 1 2 22 99 111 105 1 7 2 36 31 89 104 96 1 12 1 24 34 57 51 50 1 6 2 38 37 99 100 99 1 9 2 14 25 58 113 85 1 14 2 18 20 97 82 88 1 15 1 24 16 94 146 120 1 14 1 20 21 82 107 93 1 9 2 33 34 92 83 87 1 7 2 36 27 89 108 98 1 12 2 18 22 69 93 78 1 8 1 31 26 87 114 100 1 7 1 33 30 97 113 105 1 15 2 27 33 82 94 87 1 6 2 28 26 85 106 94 1 14 2 24 23 89 92 89 1 7 1 30 23 85 79 80 1 13 1 24 23 92 129 111 1 12 1 29 24 95 114 104 1 6 1 38 31 76 99 85 1 7 1 31 39 80 110 94 1 9 1 28 32 66 90 75 1 12 2 22 23 67 85 73 1 15 1 22 16 63 94 76 1 10 1 27 28 87 127 107 1 9 1 24 33 79 101 88 1 13 2 36 34 82 99 89 1 12 2 10 38 82 113 96 1 6 2 30 21 70 80 72 1 11 2 27 31 81 115 97 1 15 2 34 33 72 85 76 1 4 1 35 34 101 112 107 1 4 2 27 27 95 112 104 1 3 1 23 26 81 92 85 1 4 1 27 20 61 97 76 1 4 1 2 27 94 97 95 1 3 1 32 28 85 91 86 1 4 1 33 31 76 105 89 1 4 1 32 28 72 84 76 1 4 2 35 37 97 95 96 1 5 1 35 34 95 108 101 1 4 2 30 34 97 118 108 1 4 2 34 23 87 118 102 1 5 2 18 25 74 86 77 1 4 1 38 25 66 89 74 1 6 2 36 23 86 100 92 2 14 1 42 38 72 78 72 2 7 2 40 34 85 97 90 2 7 1 40 34 80 107 92 2 13 2 41 33 67 80 71 2 6 1 41 32 85 90 86 2 15 1 41 30 79 83 79 2 12 1 43 32 70 101 83 2 9 1 66 25 105 121 114 2 9 2 51 39 92 108 100 2 8 1 44 31 89 100 93 2 14 2 64 38 74 110 91 2 9 1 43 32 86 111 98 2 11 2 43 24 87 97 91 2 7 1 40 37 51 51 46 2 9 2 40 35 80 94 85 2 4 1 47 22 87 80 82 2 3 2 44 34 94 101 97 2 5 2 45 29 91 92 91 2 4 1 41 34 92 100 92 2 5 2 51 30 81 77 77 2 3 1 42 32 111 108 111 2 3 1 50 36 75 85 78 3 10 1 68 53 75 93 82 3 10 2 53 49 87 100 93 3 9 1 48 40 76 97 85 3 6 1 41 40 76 79 75 3 5 1 45 47 76 97 85 3 12 2 62 45 92 71 80 3 6 1 49 43 91 111 101 3 7 2 52 58 82 99 89 3 12 2 61 48 80 85 80 3 8 1 41 50 91 99 94 3 6 1 59 40 81 97 88 3 6 1 57 58 97 111 104 3 8 1 58 57 76 104 88 3 11 2 40 51 85 93 88 3 9 1 57 48 80 90 83 3 8 1 48 43 100 107 104 3 4 1 57 43 86 108 96 3 4 1 51 49 79 78 76 3 4 1 59 47 70 95 80 3 3 1 44 45 84 78 79 3 3 2 42 45 69 86 75 Body Temp 98 6 98 6 98 0 98 0 99 0 98 4 98 4 98 4 98 4 98 6 98 6 98 8 98 6 97 0 97 0 98 8 97 6 97 7 98 8 98 0 98 0 98 3 98 5 97 3 98 7 97 4 98 9 98 6 99 5 97 5 97 3 97 6 98 2 99 6 98 7 99 4 98 2 98 0 98 6 98 6 97 2 98 4 98 6 98 2 98 0 97 8 98 0 98 4 98 6 98 6 97 8 99 0 96 5 97 6 98 0 96 9 97 6 97 1 97 9 98 4 97 3 98 0 97 5 97 6 98 2 98 5 98 8 98 7 97 8 98 0 97 1 97 4 99 4 98 4 98 6 98 4 98 5 98 6 98 3 98 7 98 8 99 1 98 6 97 9 98 8 98 0 98 7 98 5 98 9 98 4 98 6 97 1 97 9 98 8 98 7 97 6 98 2 99 2 97 8 98 0 98 4 97 8 98 4 97 4 98 0 97 0 Hypothesis Testing Steps C My Overvie X UB Quiz Lab A X Hypothesis X UB Topic New X K Kahoot X A Homework X Course Her X My Progres X X C O File C Users joanna Downloads Hypothesis 20Testing 20for 20Proportions 20in 205 20Steps pdf E Hypothesis Testing for Proportions in 5 Steps pdf 1 3 50 Hypothesis Testing in 5 Steps For all questions throughout the semester that ask you to complete a hypothesis test, please use this outline It is adaptable to difference situations that ask you to complete a hypothesis test Step 1 State the hypotheses Sometimes it is helpful to write out the hypothesis in words first then in symbolic form Always include the symbolic form Be sure you have the correct symbols Is the test about the population mean Population standard deviation Population proportion Choosing the correct symbol is important (Notice the word population in all of these Hypothesis testing is based on population values Never use sample statistic symbols here, only population symbols For the null hypothesis, there is only one option (based on equality Ho 6 For the alternative hypothesis, there are three options based on the problem H1 6 H1 8 0 50 (alternative is directional Notice the symbol for the population mean) In words (This is optional but can be helpful) H The population proportion of babies that are boys is 50 H1 The population proportion of babies that are boys is greater than 50 2 ) Choose a test statistic in this example, we are dealing with a single sample and testing the sample proportion We can use a Z Statistic As the value for alpha is stated in the problem, we use a 0 01 with a 0 01 P(1 P) 3 ) State the assumptions First, we need to assume the sample is a random sample so that it represents the population well In this problem, this information is not stated so we need to state it here We are assuming the sample is a simple random sample as it is not stated in the problem Second, we need to check to see if the requirements for a binomial distribution are met In this example, there are 291 independent trials with only 2 possible outcomes The probability remains constant from trial to trail Therefoe, the requirements for a binomial distribution are met Third, we need to test the sample size In this case, testing that np 2 5 and nq 2 5 291(0 82) 293 2 5 2 291(0 18) 52 2 5 Therefore, this requirement is met 4 ) Calculations a ) 1st, the test statistic (This is always based on the statistic chosen in step 2) 2 0 82 0 50 10 96 0 50 0 50 291 b ) 2nd, we can calculate the p value (Here, you have the option of either the p value or a critical value In this case, I used the p value Keep in mind, your conclusion will be the same either way ) Hypothesis Testing pdf Hypothesis Testing pdf D Cliff Edge Image Ph gif Show all X Type here to search 14 5 57 PM 10 31 2022C My Overvie X UB Quiz Lab A X Hypothesis X UB Topic New X K Kahoot X A Homework X Course Her X My Progres X X C O File C Users joanna Downloads Hypothesis 20Testing 20for 20Proportions 20in 205 20Steps pdf E Hypothesis Testing for Proportions in 5 Steps pdf 2 3 50 With a 0 01 P(1 P) 3 ) State the assumptions First, we need to assume the sample is a random sample so that it represents the population well In this problem, this information is not stated so we need to state it here We are assuming the sample is a simple random sample as it is not stated in the problem Second, we need to check to see if the requirements for a binomial distribution are met In this example, there are 291 independent trials with only 2 possible outcomes The probability remains constant from trial to trail Therefoe, the requirements for a binomial distribution are met Third, we need to test the sample size In this case, testing that np 2 5 and nq 2 5 291(0 82) 293 2 5 291(0 18) 52 2 5 Therefore, this requirement is met 4 ) Calculations a ) 1st, the test statistic (This is always based on the statistic chosen in step 2) 2 0 82 0 50 10 96 9 50 0 50 291 b ) 2nd, we can calculate the p value (Here, you have the option of either the p value or a critical value In this case, I used the p value Keep in mind, your conclusion will be the same either way P value P(Z 10 96)

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Question 1 Interpreting Confidence Intervals: If theheights of men and women from the associated data files(MBODY & FBODY-found in the Lab 11 file) are used

Question 1

Interpreting Confidence Intervals:If theheights of men and women from the associated data files(MBODY & FBODY-found in the Lab 11 file) are used to construct a 95% confidence interval for the

difference between the two population means, the result is 11.61 cm

Express the confidenceinterval with the heights of women being population1 and the heights of men being population 2. Choose the correct confidence interval below.

Group of answer choices

17.32

-17.32

-11.61

11.61

Question 2

IQ and Lead Exposure.The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below.

Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people

with high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 21,x= 86.90476,s= 8.988352

Are the samples in this case independent meaning we should use a 2-sample Independent T-Test or are they dependent samples meaning we should use a Matched Pairs Design?

Group of answer choices

Independent so 2-Sample Independent Design

Dependent so a Matched Pairs Design

Question 3

IQ and Lead Exposure: Step 1The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below.

Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of people

with high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 21,x= 86.90476,s= 8.988352

Fill in the blanks to complete Step 1: The hypotheses:

H012= [ Select ] ["57", "-57", "0", "50"]

H112 [ Select ] ["greater than", "less than", "not equal to"] [ Select ] ["57", "-57", "0", "50"]

where1isthe mean from the low lead level group and2is the mean from the high lead level group

Question 4

IQ and Lead Exposure: Step 3 Checking the RequirementsThe data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics are for these groups are summarized below.

Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 33,x= 86.90476,s= 8.988352

For each of the requirements necessary for this test, choose the correct answer indetermining if the are met or not.

1.) The population standarddeviations are not equal.

This requirement is met. We can use the sample standard deviations to help gauge if the population standard deviations are equal. True/False [ Select ] ["True", "False"]

2.) The samples are independent. True/False [ Select ] ["True", "False"]

3.) Both samples are random samples True/False [ Select ] ["True", "False"]

4.) The sample sizes are both larger than 30. True/False [ Select ] ["True", "False"]

Question 5

IQ and Lead Exposure: Step 4 CalculationsThe data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics are for these groups are summarized below. Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 33,x= 86.90476,s= 8.988352

1: Find the value of the test statistic and p-value following the instructions below:

a) Press STAT & scroll to TESTS & select "2-SampTTest..." (option 4 in TI83Plus) & press Enter (for a hypothesis test of a claim involving two populations

b) Enter the following:

Inpt: Stats (The statistics are given above)
x1= sample mean from the low lead level group
Sx1=sample standard deviation from the low lead level group
n1 =sample size from the low lead level group
x2= sample mean from the high lead level group
Sx2 =sample standard deviation from the high lead level group
n2 =sample size from the high lead level group
Choose thecorrect direction of the alternative
Pooled: Choose NO

c) Highlight "Calculate" and press ENTER & make note of the calculations as you will needthem below.

Enter the value of the T-Test statistic. Round to two decimal places if necessary.

T = _________?

Question 6

IQ and Lead Exposure: Step 4 CalculationsThe data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below. Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 33,x= 86.90476,s= 8.988352

1: Find the value of the test statistic and p-value following the instructions below:

a) Press STAT & scroll to TESTS & select "2-SampTTest..." (option 4 in TI83Plus) & press Enter (for a hypothesis test of a claim involving two populations

b) Enter the following:

Inpt: Stats (The statistics are given above)
x1= sample mean from the low lead level group
Sx1=sample standard deviation from the low lead level group
n1 =sample size from the low lead level group
x2= sample mean from the high lead level group
Sx2 =sample standard deviation from the high lead level group
n2 =sample size from the high lead level group
Choose thecorrect direction of the alternative
Pooled: Choose NO

c) Highlight "Calculate" and press ENTER & make note of the calculations as you will needthem below.

Enter the value of the P-Value. Round to three decimal places if necessary.

P-value = __________?

Question 7

IQ and Lead Exposure: Step 4 ConclusionsThe data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below. Use a 0.05 significance level to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 33,x= 86.90476,s= 8.988352

Based on the T-score and the p-value, fill in the blanksbelow to draw the conclusion:

Since the p-value is [ Select ] ["greater than", "less than"] the significancelevel of 0.05, we would [ Select ] ["reject", "fail to reject"] the null hypothesis. This would mean that there [ Select ] ["is", "is not"] asignificant difference in IQ scores between people with low lead levels and high lead levels.

Question 8

IQ and Lead Exposure: Confidence IntervalThe data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below. Build a 95% Confidence interval to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Low Lead Level: n= 78, x= 92.88462,s= 15.34451

High Lead Level:n= 33,x= 86.90476,s= 8.988352

2: Find the 95% confidence interval

a) Press STAT & scroll to TESTS & select "2-SampTInt..." (option 0 in TI83Plus) & press Enter (for a hypothesis test of a claim involving two populations

b) Enter the following:

Inpt: Stats (The statistics are given above)
x1= sample mean from the low lead level group
Sx1=sample standard deviation from the low lead level group
n1 =sample size from the low lead level group
x2= sample mean from the high lead level group
Sx2 =sample standard deviation from the high lead level group
n2 =sample size from the high lead level group
Pooled: Choose NO

c) Highlight "Calculate" and press ENTER & make note of the calculations as you will needthem below.

Enter the values of the confidence interval below here. Round each value to two decimal places.

The 95% confidence interval = (_____, _____? )

Question 9

IQ and Lead Exposure: Confidence Interval (cont)The data set IQLEAD (found in the lab description) lists full IQ scores for arandom sample of subjects selected from a group with low lead levels in their blood and another random sample of subjects selected from a group withhigh lead levels in their blood. The statistics for these groups are summarized below. Build a 95% Confidence interval to test theclaim that the mean IQ score of people with low lead levels is higher than the mean IQ score of peoplewith high lead levels.

Fill in the blanksbelowto interpret the confidence interval.

"Based on this sample, we are [ Select ] ["95", "5", "1", "99"] % confident that the true difference in population mean IQ scores betweenthe low lead group and the high lead group is between 1.34 and 10.62posts. Since [ Select ] ["0", "5", "-5"] is [ Select ] ["in", "not in"] in the interval, the sample evidence indicates a difference in IQ scores between the two groups.

Question 10

Do Men and Women Have the SameMean Body TemperatureConsider the sample of bodytemperatures (F) listed in the last column of the file BODYTEMP.

The summarystatistics are given in the table below. Use a 0.01 significance level to test the claim that men and women

have different mean body temperatures. Body temperatures are given in degreesFahrenheit.

Men: n= 15, x= 98.38,s= 0.45

Women: n= 91,x= 98.17,s= 0.65

Upload work demonstrating all 5 completed steps for the hypothesis test. The 5 steps should match the steps in the example posted in the example here: Hypothesis Testing in 5 Steps.pdfDownload Hypothesis Testing in 5 Steps.pdf

Use the first 9 questions of this lab as a guide. Full credit will only be given for a completed test with all 5 steps. For step number 2, write in words: "T-Test statistic for 2 independent samples" or copy the statistics from the Powerpoint.

Female Body Temperatures

AGE	PULSE	SYS	DIAS	HDL	LDL	WHITE	RED	PLATE	WT	HT	WAIST	ARMC	BMI
60	78	122	60	74	140	9.6	4.70	317	59.3	163.7	82.3	27.5	22.13
24	80	120	64	56	142	7.1	4.64	224	74.5	165.5	88.5	30.0	27.20
49	68	90	48	70	72	7.5	4.61	248	77.7	163.1	94.9	34.4	29.21
62	56	150	80	40	164	6.8	4.09	309	97.9	166.3	111.8	38.7	35.40
53	76	132	58	67	109	5.6	4.36	335	71.7	163.6	86.5	32.2	26.79
18	78	88	52	96	93	5.4	4.64	278	60.9	170.9	78.4	26.7	20.85
41	78	100	60	43	122	6.7	4.98	312	60.5	153.5	81.7	30.5	25.68
21	90	114	72	80	116	8.6	3.76	338	88.2	155.7	111.2	36.9	36.38
21	96	94	54	77	84	10.2	4.30	290	43.8	153.0	79.2	23.2	18.71
19	60	100	54	41	55	4.1	4.66	236	47.9	157.0	63.4	22.6	19.43
19	98	110	74	23	115	13.0	5.66	310	126.6	163.7	103.8	40.5	47.24
58	66	188	0	76	98	9.2	4.71	460	64.8	161.3	90.4	29.0	24.91
44	100	106	74	39	139	5.9	4.81	317	75.6	168.6	93.6	32.1	26.60
52	76	130	76	52	122	8.0	4.95	304	81.0	156.4	111.8	32.8	33.11
48	64	126	76	38	100	7.0	4.32	239	72.8	159.4	97.2	31.9	28.65
36	82	90	56	37	99	9.1	4.35	243	67.3	164.2	83.9	30.8	24.96
48	62	168	90	57	131	5.7	3.93	351	58.0	169.0	80.3	26.7	20.31
34	72	110	66	81	59	4.6	4.69	242	107.8	161.6	120.6	40.7	41.28
22	78	98	60	37	90	6.0	4.66	217	54.1	161.1	80.5	25.2	20.85
61	74	112	70	50	130	5.7	5.26	173	59.6	150.8	97.1	29.7	26.21
21	90	116	66	73	144	8.9	4.23	228	48.9	166.6	79.7	21.6	17.62
33	90	128	72	61	84	6.4	4.81	259	115.7	175.7	119.9	39.9	37.48
32	68	116	72	33	112	8.1	4.50	193	75.3	169.0	96.3	32.0	26.36
37	72	112	66	41	128	7.9	4.36	417	114.9	160.5	124.4	43.2	44.60
19	82	126	60	60	107	4.4	4.68	193	60.0	159.1	74.5	29.4	23.70
51	72	94	60	62	209	4.9	4.64	244	67.3	166.7	83.8	31.0	24.22
35	78	120	78	67	77	5.3	4.01	266	77.3	151.5	94.0	37.2	33.68
18	104	94	32	79	39	5.3	4.11	286	49.7	156.2	71.2	24.2	20.37
60	62	120	76	64	85	4.7	4.37	206	58.4	148.7	90.7	30.0	26.41
58	72	148	62	44	162	9.8	4.66	426	82.2	168.3	103.6	33.4	29.02
60	72	126	76	42	111	5.3	4.89	244	79.5	159.6	98.3	36.4	31.21
48	88	126	72	41	104	4.9	4.35	295	80.3	165.9	96.6	33.0	29.18
31	74	112	72	44	192	6.3	4.56	282	56.4	147.6	79.1	29.5	25.89
29	72	120	78	57	110	5.4	5.10	211	64.3	165.4	85.7	31.0	23.50
46	82	110	76	69	123	7.0	5.30	355	102.1	159.8	119.6	39.5	39.98
18	78	98	66	60	70	13.5	4.83	357	62.3	158.5	83.2	30.6	24.80
50	78	130	72	47	155	10.0	4.65	272	74.6	165.6	97.5	31.0	27.20
20	98	114	54	67	108	10.3	4.29	251	116.3	164.9	140.0	35.5	42.77
56	72	174	86	55	158	5.1	4.40	219	92.6	172.0	109.0	39.0	31.30
18	64	108	58	82	50	6.6	4.26	234	65.0	170.2	81.8	27.5	22.44

Male Body Temperatures

AGE	PULSE	SYS	DIAS	HDL	LDL	WHITE	RED	PLATE	WT	HT	WAIST	ARMC	BMI
18	60	132	68	44	213	8.7	4.91	409	64.4	178.8	81.4	28.4	20.14
20	74	120	68	41	88	5.9	5.59	187	61.8	177.5	74.8	26.8	19.62
43	86	106	84	71	174	7.3	4.44	250	78.5	187.8	84.1	32.3	22.26
39	54	104	60	41	121	6.2	4.80	273	86.3	172.4	95.5	39.0	29.04
60	90	122	80	57	124	5.9	5.17	278	73.1	181.7	90.1	29.4	22.14
18	80	122	62	50	99	6.4	5.24	279	58.5	169.0	69.8	28.7	20.48
57	66	126	78	60	114	3.9	4.51	237	134.3	186.9	137.8	42.8	38.45
27	68	118	60	47	122	6.4	4.77	200	79.8	183.1	94.4	32.0	23.80
20	68	110	40	44	112	9.8	5.02	209	64.8	176.4	74.2	29.2	20.82
18	56	96	56	33	67	4.0	5.10	203	58.1	183.4	69.9	26.2	17.27
63	80	114	76	48	108	3.8	4.45	206	76.1	169.6	95.2	32.0	26.46
20	62	128	78	46	94	5.6	5.41	174	118.4	185.4	117.5	39.9	34.45
24	74	108	76	62	69	6.6	5.45	219	56.2	166.1	77.0	26.2	20.37
46	60	126	78	45	77	4.9	4.27	302	73.4	169.3	90.5	33.1	25.61
29	52	116	82	43	120	9.6	4.90	285	126.9	193.5	122.0	37.9	33.89
63	60	138	76	39	84	8.6	4.60	254	84.4	173.1	104.0	32.2	28.17
21	66	110	50	41	86	5.2	4.93	195	97.8	171.6	104.1	37.9	33.21
45	64	144	84	47	77	9.2	4.28	290	66.5	180.8	76.4	29.9	20.34
40	64	112	70	46	201	6.6	4.74	240	90.5	175.3	98.6	37.0	29.45
50	46	130	74	56	196	3.2	4.98	270	83.7	178.3	89.7	36.0	26.33
48	68	136	82	38	179	6.9	5.20	264	88.7	172.8	102.1	33.7	29.71
64	58	146	70	37	140	7.1	5.17	208	80.4	165.2	104.6	32.6	29.46
18	68	106	62	61	117	6.9	4.85	271	64.0	176.6	77.6	26.1	20.52
50	70	136	76	41	117	7.0	5.77	386	65.7	174.2	87.5	30.2	21.65
20	56	122	86	56	87	8.4	5.09	203	58.9	181.7	69.1	25.1	17.84
20	66	112	80	59	78	5.9	5.24	223	82.4	176.0	83.4	36.0	26.60
47	78	128	90	40	159	5.1	5.18	261	85.1	173.7	96.1	33.2	28.21
19	68	114	56	54	113	10.0	5.34	282	87.7	177.1	97.2	35.3	27.96
55	62	100	68	40	155	4.4	4.89	184	111.9	174.5	122.4	36.5	36.75
23	70	106	78	75	85	7.1	5.59	204	70.9	180.4	81.5	31.0	21.79
21	72	134	78	55	90	7.9	5.94	287	101.8	177.3	97.5	38.8	32.38
19	74	128	68	48	104	8.1	5.39	219	99.0	172.5	106.7	36.4	33.27
64	64	108	80	50	154	5.6	5.24	257	100.5	180.2	109.6	36.9	30.95
30	50	106	68	57	114	4.1	4.72	206	78.9	172.7	91.8	33.2	26.45
43	70	112	68	38	156	9.5	5.34	342	79.2	168.6	96.7	34.0	27.86
23	58	120	68	78	103	4.9	5.23	319	86.1	178.3	86.6	38.2	27.08
64	60	140	62	45	145	8.9	4.98	251	100.8	176.7	118.1	36.0	32.28
40	88	98	56	82	135	11.0	5.06	178	76.4	174.8	81.5	34.7	25.00
23	84	126	68	44	123	8.6	5.64	220	77.4	172.1	92.1	31.9	26.13
44	76	154	86	51	170	6.9	5.47	268	89.7	173.4	103.3	37.5	29.83

IQLEAD

LEAD	AGE	SEX	YEAR1	YEAR2	IQV	IQP	IQF
1	11	1	25	18	61	85	70
1	9	1	31	28	82	90	85
1	11	1	30	29	70	107	86
1	6	1	29	30	72	85	76
1	11	1	2	34	72	100	84
1	6	1	29	25	95	97	96
1	6	1	25	24	89	101	94
1	15	2	24	15	57	64	56
1	7	2	24	16	116	111	115
1	7	1	31	24	95	100	97
1	13	2	21	19	82	76	77
1	10	2	29	27	116	136	128
1	12	1	32	29	99	100	99
1	12	1	36	32	74	90	80
1	15	1	30	25	100	135	118
1	10	1	29	23	72	104	86
1	15	1	28	28	126	149	141
1	9	2	28	19	80	99	88
1	8	1	34	22	86	107	96
1	11	1	21	22	94	99	96
1	7	1	35	27	100	113	107
1	11	2	39	38	72	104	86
1	6	1	36	31	63	101	80
1	6	1	19	25	101	111	107
1	9	1	29	24	85	118	101
1	13	2	1	24	85	99	91
1	9	2	22	20	124	122	125
1	6	1	23	18	105	87	96
1	13	1	21	18	81	118	99
1	6	1	32	26	87	113	99
1	12	2	26	27	100	128	115
1	8	2	20	24	91	121	106
1	9	1	2	22	99	111	105
1	7	2	36	31	89	104	96
1	12	1	24	34	57	51	50
1	6	2	38	37	99	100	99
1	9	2	14	25	58	113	85
1	14	2	18	20	97	82	88
1	15	1	24	16	94	146	120
1	14	1	20	21	82	107	93
1	9	2	33	34	92	83	87
1	7	2	36	27	89	108	98
1	12	2	18	22	69	93	78
1	8	1	31	26	87	114	100
1	7	1	33	30	97	113	105
1	15	2	27	33	82	94	87
1	6	2	28	26	85	106	94
1	14	2	24	23	89	92	89
1	7	1	30	23	85	79	80
1	13	1	24	23	92	129	111
1	12	1	29	24	95	114	104
1	6	1	38	31	76	99	85
1	7	1	31	39	80	110	94
1	9	1	28	32	66	90	75
1	12	2	22	23	67	85	73
1	15	1	22	16	63	94	76
1	10	1	27	28	87	127	107
1	9	1	24	33	79	101	88
1	13	2	36	34	82	99	89
1	12	2	10	38	82	113	96
1	6	2	30	21	70	80	72
1	11	2	27	31	81	115	97
1	15	2	34	33	72	85	76
1	4	1	35	34	101	112	107
1	4	2	27	27	95	112	104
1	3	1	23	26	81	92	85
1	4	1	27	20	61	97	76
1	4	1	2	27	94	97	95
1	3	1	32	28	85	91	86
1	4	1	33	31	76	105	89
1	4	1	32	28	72	84	76
1	4	2	35	37	97	95	96
1	5	1	35	34	95	108	101
1	4	2	30	34	97	118	108
1	4	2	34	23	87	118	102
1	5	2	18	25	74	86	77
1	4	1	38	25	66	89	74
1	6	2	36	23	86	100	92
2	14	1	42	38	72	78	72
2	7	2	40	34	85	97	90
2	7	1	40	34	80	107	92
2	13	2	41	33	67	80	71
2	6	1	41	32	85	90	86
2	15	1	41	30	79	83	79
2	12	1	43	32	70	101	83
2	9	1	66	25	105	121	114
2	9	2	51	39	92	108	100
2	8	1	44	31	89	100	93
2	14	2	64	38	74	110	91
2	9	1	43	32	86	111	98
2	11	2	43	24	87	97	91
2	7	1	40	37	51	51	46
2	9	2	40	35	80	94	85
2	4	1	47	22	87	80	82
2	3	2	44	34	94	101	97
2	5	2	45	29	91	92	91
2	4	1	41	34	92	100	92
2	5	2	51	30	81	77	77
2	3	1	42	32	111	108	111
2	3	1	50	36	75	85	78
3	10	1	68	53	75	93	82
3	10	2	53	49	87	100	93
3	9	1	48	40	76	97	85
3	6	1	41	40	76	79	75
3	5	1	45	47	76	97	85
3	12	2	62	45	92	71	80
3	6	1	49	43	91	111	101
3	7	2	52	58	82	99	89
3	12	2	61	48	80	85	80
3	8	1	41	50	91	99	94
3	6	1	59	40	81	97	88
3	6	1	57	58	97	111	104
3	8	1	58	57	76	104	88
3	11	2	40	51	85	93	88
3	9	1	57	48	80	90	83
3	8	1	48	43	100	107	104
3	4	1	57	43	86	108	96
3	4	1	51	49	79	78	76
3	4	1	59	47	70	95	80
3	3	1	44	45	84	78	79
3	3	2	42	45	69	86	75

Body Temp

98.6
98.6
98.0
98.0
99.0
98.4
98.4
98.4
98.4
98.6
98.6
98.8
98.6
97.0
97.0
98.8
97.6
97.7
98.8
98.0
98.0
98.3
98.5
97.3
98.7
97.4
98.9
98.6
99.5
97.5
97.3
97.6
98.2
99.6
98.7
99.4
98.2
98.0
98.6
98.6
97.2
98.4
98.6
98.2
98.0
97.8
98.0
98.4
98.6
98.6
97.8
99.0
96.5
97.6
98.0
96.9
97.6
97.1
97.9
98.4
97.3
98.0
97.5
97.6
98.2
98.5
98.8
98.7
97.8
98.0
97.1
97.4
99.4
98.4
98.6
98.4
98.5
98.6
98.3
98.7
98.8
99.1
98.6
97.9
98.8
98.0
98.7
98.5
98.9
98.4
98.6
97.1
97.9
98.8
98.7
97.6
98.2
99.2
97.8
98.0
98.4
97.8
98.4
97.4
98.0
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Hypothesis Testing Steps

C My Overvie X UB Quiz: Lab A X Hypothesis X UB Topic: New X K! Kahoot! X A Homework X *Course Her X My Progres X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20for%20Proportions%20in%205%20Steps.pdf E Hypothesis Testing for Proportions in 5 Steps.pdf 1 / 3 50% + Hypothesis Testing in 5 Steps For all questions throughout the semester that ask you to complete a hypothesis test, please use this outline. It is adaptable to difference situations that ask you to complete a hypothesis test. Step #1: State the hypotheses Sometimes it is helpful to write out the hypothesis in words first then in symbolic form. Always include the symbolic form Be sure you have the correct symbols. Is the test about the population mean? Population standard deviation? Population proportion? Choosing the correct symbol is important. (Notice the word population in all of these: Hypothesis testing is based on population values. Never use sample statistic symbols here, only population symbols . For the null hypothesis, there is only one option: (based on equality Ho: 6= For the alternative hypothesis, there are three options based on the problem H1:6> H1:8 0.50 (alternative is directional. Notice the symbol for the population mean) In words: (This is optional but can be helpful) H.: The population proportion of babies that are boys is 50%% H1: The population proportion of babies that are boys is greater than 50% 2.) Choose a test statistic in this example, we are dealing with a single sample and testing the sample proportion. We can use a Z-Statistic. As the value for alpha is stated in the problem, we use a = 0.01 with a = 0.01 P(1 - P) 3.) State the assumptions First, we need to assume the sample is a random sample so that it represents the population well. In this problem, this information is not stated so we need to state it here. We are assuming the sample is a simple random sample as it is not stated in the problem. . Second, we need to check to see if the requirements for a binomial distribution are met. In this example, there are 291 independent trials with only 2 possible outcomes. The probability remains constant from trial to trail. Therefoe, the requirements for a binomial distribution are met . Third, we need to test the sample size. In this case, testing that np 2 5 and nq 2 5 291(0.82) = 293 2 5 2 291(0.18) = 52 2 5 Therefore, this requirement is met. 4.) Calculations a.) 1st, the test statistic: (This is always based on the statistic chosen in step 2) 2 - 0.82 - 0.50 = 10.96 0.50 - 0.50 291 b.) 2nd, we can calculate the p-value. (Here, you have the option of either the p-value or a critical value. In this case, I used the p-value. Keep in mind, your conclusion will be the same either way.) Hypothesis Testing.pdf Hypothesis Testing..pdf ~ D Cliff Edge Image Ph.gif Show all X Type here to search 14% 5:57 PM 10/31/2022C My Overvie X UB Quiz: Lab A X Hypothesis X UB Topic: New X K! Kahoot! X A Homework X *Course Her X My Progres X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20for%20Proportions%20in%205%20Steps.pdf E Hypothesis Testing for Proportions in 5 Steps.pdf 2 / 3 50% + With a = 0.01 P(1 - P) 3.) State the assumptions First, we need to assume the sample is a random sample so that it represents the population well. In this problem, this information is not stated so we need to state it here. We are assuming the sample is a simple random sample as it is not stated in the problem. . Second, we need to check to see if the requirements for a binomial distribution are met. In this example, there are 291 independent trials with only 2 possible outcomes. The probability remains constant from trial to trail. Therefoe, the requirements for a binomial distribution are met Third, we need to test the sample size. In this case, testing that np 2 5 and nq 2 5 291(0.82) = 293 2 5 291(0.18) = 52 2 5 Therefore, this requirement is met. 4.) Calculations: a.) 1st, the test statistic: (This is always based on the statistic chosen in step 2) 2 0.82 - 0.50 10.96 9.50 . 0.50 291 b.) 2nd, we can calculate the p-value. (Here, you have the option of either the p-value or a critical value. In this case, I used the p-value. Keep in mind, your conclusion will be the same either way. P - value = P(Z > 10.96)