uiz 4 MATH302 Question 1 of 20 Page 1 of 7 1 OPoints ' Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is the p-value associated with your test of hypothesis? O A.0.2437 O B.0.4874 O C.0.6874 O D.0.7563 Reset Selection Question 2 of 20 1 OPoints - Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is your conclusion? O A.More seniors are going to college O B.Cannot determine O C.Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79. O D.Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79. Reset Selection Question 3 of 20 1.0 Points A null hypothesis can only be rejected at the 5% significance level if and only if: O A.a 95% confidence interval does not include the hypothesized value of the parameter O B.the null hypothesis is biased O C.the null hypotheses includes sampling error O D.a 95% confidence interval includes the hypothesized value of the parameter Reset Selection Question 4 of 20 1.0 Points Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATH302 Page 2 of 7 seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. Compute the z or t value of the sample test statistic. O A.z=1.96 O B.t = 1.645 O C.z = 0.69 O D.z = 0.62 Reset Selection .. , , Question 5 of 20 1.0 Points A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy? State the null and alternative hypotheses. O B.H 0 :a 2 > 1.2, Hi:a 2 ^ 1.2 Oc.H 0 :a 2 <1.2,Hi:a 2 >1.2 O D.H 0 :a 2 <1.2,Hi:a 2 ^1.2 Reset Selection Question 6 of 20 1.0 Points The form of the alternative hypothesis can be: O A.neither one nor two-tailed O B.two-tailed O C.one-tailed O D.one or two-tailed Reset Selection Question 7 of 20 1.0 Points Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. State the null and alternative hypotheses. https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATH302 Page 3 of 7 O A.Ho:n = .79,Hi:n>.79 OB. H0: !i =.79, Hi: >S > .79 Qc.H 0 :p = .79,Hi:p^.79 O D.H 0 :p<.79,Hi:p>.79 Reset Selection Question 8 of 20 1.0 Points Which of the following values is not typically used for O ? O A.0.05 O B.0.01 O C.0.50 O D.0.10 Reset Selection Question 9 of 20 1.0 Points In an article appearing in Today's Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. State the null and alternative hypotheses. O A.H0: "ft K 75, Hi: $* > 75 O B.H0: |* = 75, Hi: #1 > 75 O C.H0: & 5> 75, Hi: J3 < 75 O D.H0: P =75, Hi: |* * 75 Reset Selection Question 10 of 20 1.0 Points A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy? At the a = .01 level of significance, what is your conclusion? https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATH302 Page 4 of 7 O A.Do not reject HQ. At the = .01 level of significance there is not sufficient evidence to suggest that this technician's true variance is greater than the target accuracy. O B.Cannot determine O C.Reject HQ. At the is = .01 level of significance, there is enough evidence to support the claim that this technician's variance is larger than the target accuracy. OD. Reject HO. At the Hi = .01 level of significance, there is not enough evidence to support the claim that this technician's true variance is larger than the target accuracy. Reset Selection Question 11 of 20 1.0 Points In an article appearing in Today's Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. Compute the z or t value of the sample test statistic. O A.z = 1.645 O B.t= 1.916 O C.t =-1.916 O D.z= 1.916 Reset Selection Part 2 of 3 - Question 12 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The ABC battery company claims that their batteries last at least 100 hours, on average. Your experience with their batteries has been somewhat different, so you decide to conduct a test to see if the company's claim is true. You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below. Test of H0: /I > 100 versus HI: | < 100 i Sample mean 98.5 Std error of mean 0.777 Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATH302 Page 5 of 7 your answer, rounded to 3 decimal places in the blank. For example, 0.234 would be a legitimate entry. 1 OPoints Question 13 of 20 - Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. At a university, the average cost of books per student has been $600 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $600. He surveys a sample of 40 students and finds that for the most recent semester their average cost was $645 with a standard deviation of $75. What is the test value for this hypothesis test? Test value: Round your answer to two decimal places as necessary. Question 14 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0: 'ft < 1500 versus HI: jtl > 1500 Sample mean 1509.5 Std error of mean 4.854 Assuming the life length of this type of lightbulb is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, .123 would be a legitimate entry. Question 15 of 20 1 OPoints - Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+11} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip. https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATH3 02 Page 6 of 7 Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance. P-value: Round your answer to four decimal places as necessary. Question 16 of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0: | < 1500 versus HI: | > 1500 i l Sample mean 1509.5 Std error of mean 4.854 Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 I decimal places in the blank. For example, 1.234 would be a legitimate entry. Question!? of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test H0: p 2 .45 vsH-t: p< .45. In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women. Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry. Part 3 of 3 - https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015 Quiz 4 MATHS 02 Question 18 of 20 Page 7 of 7 1.0 Points Using the confidence interval when conducting a two-tailed test for the population proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval. O True O False ReseLSejectjQn Question19of20 1 OPoints ' A one-tailed alternative is one that is supported by evidence in either direction. O True O False Reset Selection Question 20 of 20 1.0 Points An alternative or research hypothesis is usually the hypothesis a researcher wants to prove. O True O False https://edge.apus.edu/portal/tool/c439b364-29c5-44e6-aa96-831fba8d3445/jsf/delivery/be... 12/14/2015