KIN 3502 Final Exam questions and answers with solutions 2025

AP Statistics Unit 6 Progress Check: MCQ
Part D
In a large study designed to compare the risk of cardiovascular disease (CVD) between smokers
O O O O O O O O O O O O O O O



and nonsmokers, random samples from each group were selected. The sample proportion of pe
O O O O O O O O O O O O O



ople with CVD was calculated for each group, and a 95 percent confidence interval for the differ
O O O O O O O O O O O O O O O O



ence (smoker minus nonsmoker) was given as (−0.01, 0.04). Which of the following is the best in
O O O O O O O O O O O O O O O O



terpretation of the interval? - O O O O



OANSWER B. We are 95% confident that the difference in proportions for smokers and nonsmoke
O O O O O O O O O O O O O O



rs with CVD in the population is between −0.01 and 0.04.
O O O O O O O O O O




A research group studying cell phone habits asked the question "Do you ever use your cell phon
O O O O O O O O O O O O O O O O



e to make a payment at a convenience store?" to people selected from two random samples of c
O O O O O O O O O O O O O O O O O



ell phone users. One sample consisted of older adults, ages 35 years and older, and the other sa
O O O O O O O O O O O O O O O O O



mple consisted of younger adults, ages 18 years to 34 years. The proportion of people who answ
O O O O O O O O O O O O O O O O



ered yes in each sample was used to create a 95 percent confidence interval of (0.097, 0.125) to
O O O O O O O O O O O O O O O O O O



estimate the difference (younger minus older) between the population proportions of people w
O O O O O O O O O O O O



ho would answer yes to the question. Which of the following is the best description of what is m
O O O O O O O O O O O O O O O O O O



eant by 95 percent confidence? -
O O O O O



OANSWER C. In repeated random sampling with the same sample size, approximately 95% of the
O O O O O O O O O O O O O O O



intervals constructed from the samples will capture the difference in population proportions of
O O O O O O O O O O O O O



people who would answer yes to the question.
O O O O O O O




Consider a 90 percent confidence interval constructed to estimate the difference between two p
O O O O O O O O O O O O O



opulation proportions. Which of the following is the best interpretation of what is meant by 90
O O O O O O O O O O O O O O O O



percent confidence? - O O



ANSWER D. For repeated random sampling from the populations with samples of the same size,
O O O O O O O O O O O O O O O



approximately 90% of the confidence intervals constructed will capture the true difference bet
O O O O O O O O O O O O O



ween the population proportions.
O O O




Surveys were sent to a random sample of owners of all-wheel-
O O O O O O O O O O



drive (AWD) vehicles and to a random sample of owners of front-wheel-
O O O O O O O O O O O



drive (FWD) vehicles. The proportion of owners who were satisfied with their vehicles was recor
O O O O O O O O O O O O O O



ded for each sample. The sample proportions were used to construct the 95 percent confidence
O O O O O O O O O O O O O O O

, interval for a difference in population proportions (FWD minus AWD) for satisfied owners. The in
O O O O O O O O O O O O O O



terval is given as (−0.01, 0.12).
O O O O O




A car company believes that the proportion of satisfied owners of AWD vehicles differs from the
O O O O O O O O O O O O O O O O



proportion of satisfied owners of FWD vehicles. Does the confidence interval provide evidence t
O O O O O O O O O O O O O



hat this belief is plausible? - ANSWER A. No. The interval contains 0.
O O O O O O O O O O O O




A large company offered gym memberships to its employees as part of a program to keep emplo
O O O O O O O O O O O O O O O O



yees healthy. A random sample of employees with a gym membership and a random sample of
O O O O O O O O O O O O O O O O



employees without a gym membership were taken, and the proportion of employees who had t
O O O O O O O O O O O O O O



aken at least one sick day in the past month was recorded for each sample. A 90 percent confide
O O O O O O O O O O O O O O O O O O



nce interval for the difference in population proportions (membership minus no membership) w
O O O O O O O O O O O O



as found to be (−0.13, 0.05).
O O O O O




Employees believe that there is no difference in absenteeism between those with a gym membe
O O O O O O O O O O O O O O



rship and those without a gym membership. Does the confidence interval provide evidence that
O O O O O O O O O O O O O O



this belief is plausible? -
O O O O



OANSWER E. Yes. The value of 0 is contained in the interval, which indicates that no difference is
O O O O O O O O O O O O O O O O O O



plausible.



A 90 percent confidence interval for the proportion difference p1 − p2 was calculated to be (0.24
O O O O O O O O O O O O O O O O



7, 0.325).
O




Which of the following conclusions is supported by the interval? -
O O O O O O O O O O



OANSWER C. There is evidence to conclude that p1 > p2 because all values in the interval are posi
O O O O O O O O O O O O O O O O O O



tive.



A yearbook company was investigating whether there is a significant difference between two sta
O O O O O O O O O O O O O



tes in the percents of high school students who order yearbooks. From a random sample of 150
O O O O O O O O O O O O O O O O O



students selected from one state, 70 had ordered a yearbook. From a random sample of 100 stu
O O O O O O O O O O O O O O O O



dents selected from the other state, 65 had ordered a yearbook. Which of the following is the m
O O O O O O O O O O O O O O O O O