Hello I need your help please with these questions

167 168 15 In the previous question the p-value = 169 0.038 170 0.046 171 0.055 172 0.066 173 174 16 The average age at marriage in the United State for men is 29.5 for men. 175 You want to perform a hypothesis test for the average age at marriage for Indiana men. You 176 select the following random sample of Indiana married men. The data show the age at the first 177 time marriage 178 29 31 31 28 28 30 30 29 179 28 180 26 26 31 31 33 27 34 35 27 27 28 30 35 29 181 31 28 182 29 33 33 32 28 35 34 183 26 32 30 26 29 31 30 29 31 35 27 30 33 33 28 24 184 31 32 25 31 33 185 29 36 28 186 187 At a 5 percent level of significance, does the data show significant evidence that average age at 188 marriage for men in Indiana is greater than the national average? 189 ITS| = 190 a 1.555 Reject Ho. Conclude that the average age at marriage for Indiana men is above the 191 national average 192 b 1.555 DNR Ho- Do not conclude that the average age at marriage for Indiana men is above 193 the national average 194 C 2.091 Reject Ho. Conclude that the average age at marriage for Indiana men is above the 195 national average 196 d 2.091 DNR Ho. Do not conclude that the average age at marriage for Indiana men is above 197 the national averageb 5 8 You are asked to perform a hypothesis test that population mean is at least, or no less than, 80. 9 Which of the following is the correct statement of the null and alternative hypotheses for this test? 0 Hi: p 80 Ho: us 80 Ho: H 2 80 Hi: p 80 5 6 You are asked to perform a hypothesis test that population proportion is at most, or no greater 6 than, 0.75. Which of the following is the correct statement of the null and alternative hypotheses for this test? 8 a Ho: 1 2 0.75 H1: n 0.75 C Ho: 1 > 0.75 H1: ITS 0.75 d Ho: TT 0.55133 Questions 13-15 are based on the following 134 American workers spend an average of 50.2 minutes to and from work in a typical day. 135 To perform a hypothesis about mean commuting time to work in the Indianapolis Metropolitan Area, 136 you obtain the following the following random sample of commuting times. 137 138 69 36 36 17 38 17 46 32 139 38 36 40 24 52 30 39 63 55 35 140 25 67 44 31 64 43 53 36 63 141 57 24 51 42 56 142 50 43 41 38 71 52 66 45 143 41 76 38 46 49 22 32 16 144 46 56 15 43 60 77 52 21 145 54 67 61 48 55 40 75 70 146 45 43 63 55 52 59 46 49 46 63 64 54 54 68 41 50 147 148 149 Is there enough evidence from the sample data, at a = 0.05, to conclude that the average commuting 150 time in IMA is less than the national average? 151 152 13 To perform a hypothesis test, the null and alternative hypotheses for this test are: 153 Ho: H 50.2 Hi: us 50.2 155 Ho: H 2 50.2 Hi: p 50.2 157 158 14 The test statistic is (if negative, use the absolute value], 159 a 1.507 DNR Ho- Conclude the average commuting time in IMA is less than the national 160 average. 161 h 1.507 Reject Ho. Do not conclude the average commuting time in IMA is less than the 162 national average. 163 C 1.792 DNR Ho- Do not conclude the average commuting time in IMA is less than the 164 national average. 165 d 1.792 Reject Ho- Conclude the average commuting time in IMA is less than the national 66 average.114 115 10 The critical value for a 5 percent level of significance is: 116 a 1.537 117 1.660 118 1.793 119 d 1.936 120 121 11 The p-value for the test is approximately, 122 a 0.048 123 0.058 124 0.071 125 0.087 126 127 12 The test leads you to: 128 a Do not reject Ho at a 5 percent, but reject Ho at a 10 percent level of significance. 129 b Do not reject Ho at a 5 percent, and do not reject Ho at a 10 percent level of significance. 130 c Reject Ho at a 5 percent, and reject Ho at a 10 percent level of significance. 131 d Reject Ho at a 5 percent, but do not reject Ho at a 10 percent level of significance.218 Questions 18 and 19 are related 219 The national obesity statistics indicates that 42.4% of adults in the United States are obese. In a 220 random sample of n = 1014 adults in Indiana, the proportion who were obese was p = 0.398. 221 Does the sample provide significant evidence that the obesity rate in Indiana is below the national rate? 222 Assume the probability that you would reject a true null hypothesis is 5%. 223 18 State the null and alternative hypotheses: 224 a Ho: It > 0.424 H1: It s 0.424 225 Ho: It 0.424 227 d Ho: IT 2 0.424 H1:It 120 86 87 8 This test is: 88 a An open-interval test. 89 b A two-tail test. 90 C A lower-tail test. 91 d An upper-tail test. 92 93 The following random sample is selected to perform the test of hypothesis 94 95 103 103 114 121 132 71 96 121 147 151 110 143 164 82 136 98 97 84 119 112 76 121 114 143 127 98 118 152 176 123 139 122 159 99 96 100 176 93 100 137 158 146 88 100 143 129 136 89 117 96 120 124 175 101 119 97 144 113 106 115 130 102 141 130 89 151 101 119 100 123 103 147 107 184 149 124 103 147 104 125 91 125 150 107 133 142 139 137 105 112 105 123 161 102 145 157 147 106 31 172 130 121 141 136 84 78 107 149 103 108 104 99 189 107 08 120 174 109 9 The test statistic is (if negative, use the absolute value], 110 1.788 111 1.625 112 1.478 13 1.34328 Note: 29 If your answer does not exactly match the correct choice, it is due to rounding of intermediate 30 calculations. To avoid the discrepancy, do your calculations in Excel without rounding. 31 32 1 Which of the following statements about Type I and Type II errors is correct: 33 a Type I: Reject a true alternative hypothesis. Type II: Do not reject a false alternative. 34 b Type I: Reject a true null hypothesis. Type II: Do not reject a false null hypothesis. 35 C Type I: Reject a false null hypothesis. Type II: Reject a true null hypothesis. 36 d Type I: Do not reject a false null hypothesis. Type II: Reject a true null hypothesis. 37 38 2 In a test of hypothesis, the symbol a represents: 39 The power of the test, or the probability of rejecting a false Ho. 40 The level of significance, or the probability of not rejecting a false Ho. 41 The level of significance, or the probability of committing a Type II error. 42 The level of significance, or the probability of rejecting a true Ho- 43 44 3 Suppose in a test of hypothesis the probability value (p-value) is 0.0768. Then you should, 45 a reject Ho at a = 0.10, but not reject Ho at a = 0.05. 46 reject Ho at a = 0.05, but not reject Ho at a = 0.10. 47 not reject Ho at a = 0.10. 48 reject Ho at a = 0.05. 49 50 4 You are asked to perform a hypothesis test that population mean is less than 100. Which of 51 the following is the correct statement of the null and alternative hypotheses for this test? 52 Ho: us 100 Hi: p > 100 53 Ho: H 2 100 Hi: p 100 Hi: us 100 55 Ho: p