AP STATISTICS UNIT 5 PROGRESS CHECK
MCQ PART C CERTIFICATION
EVALUATION 2026 TEST BANK QUESTIONS
AND SOLUTIONS
●● A research group studying cell phone habits asked the question "Do
you ever use your cell phone to make a payment at a convenience
store?" to people selected from two random samples of cell phone users.
One sample consisted of older adults, ages 35 years and older, and the
other sample consisted of younger adults, ages 18 years to 34 years. The
proportion of people who answered yes in each sample was used to
create a 95 percent confidence interval of (0.097, 0.125) to estimate the
difference (younger minus older) between the population proportions of
people who would answer yes to the question. Which of the following is
the best description of what is meant by 95 percent confidence?.
Answer: C. In repeated random sampling with the same sample size,
approximately 95% of the intervals constructed from the samples will
capture the difference in population proportions of people who would
answer yes to the question.
●● Consider a 90 percent confidence interval constructed to estimate the
difference between two population proportions. Which of the following
is the best interpretation of what is meant by 90 percent confidence?.
Answer: D. For repeated random sampling from the populations with
samples of the same size, approximately 90% of the confidence intervals
, constructed will capture the true difference between the population
proportions.
●● Surveys were sent to a random sample of owners of all-wheel-drive
(AWD) vehicles and to a random sample of owners of front-wheel-drive
(FWD) vehicles. The proportion of owners who were satisfied with their
vehicles was recorded for each sample. The sample proportions were
used to construct the 95 percent confidence interval for a difference in
population proportions (FWD minus AWD) for satisfied owners. The
interval is given as (−0.01, 0.12).
A car company believes that the proportion of satisfied owners of AWD
vehicles differs from the proportion of satisfied owners of FWD
vehicles. Does the confidence interval provide evidence that this belief is
plausible?.
Answer: A. No. The interval contains 0.
●● A large company offered gym memberships to its employees as part
of a program to keep employees healthy. A random sample of employees
with a gym membership and a random sample of employees without a
gym membership were taken, and the proportion of employees who had
taken at least one sick day in the past month was recorded for each
sample. A 90 percent confidence interval for the difference in population
proportions (membership minus no membership) was found to be
(−0.13, 0.05).
MCQ PART C CERTIFICATION
EVALUATION 2026 TEST BANK QUESTIONS
AND SOLUTIONS
●● A research group studying cell phone habits asked the question "Do
you ever use your cell phone to make a payment at a convenience
store?" to people selected from two random samples of cell phone users.
One sample consisted of older adults, ages 35 years and older, and the
other sample consisted of younger adults, ages 18 years to 34 years. The
proportion of people who answered yes in each sample was used to
create a 95 percent confidence interval of (0.097, 0.125) to estimate the
difference (younger minus older) between the population proportions of
people who would answer yes to the question. Which of the following is
the best description of what is meant by 95 percent confidence?.
Answer: C. In repeated random sampling with the same sample size,
approximately 95% of the intervals constructed from the samples will
capture the difference in population proportions of people who would
answer yes to the question.
●● Consider a 90 percent confidence interval constructed to estimate the
difference between two population proportions. Which of the following
is the best interpretation of what is meant by 90 percent confidence?.
Answer: D. For repeated random sampling from the populations with
samples of the same size, approximately 90% of the confidence intervals
, constructed will capture the true difference between the population
proportions.
●● Surveys were sent to a random sample of owners of all-wheel-drive
(AWD) vehicles and to a random sample of owners of front-wheel-drive
(FWD) vehicles. The proportion of owners who were satisfied with their
vehicles was recorded for each sample. The sample proportions were
used to construct the 95 percent confidence interval for a difference in
population proportions (FWD minus AWD) for satisfied owners. The
interval is given as (−0.01, 0.12).
A car company believes that the proportion of satisfied owners of AWD
vehicles differs from the proportion of satisfied owners of FWD
vehicles. Does the confidence interval provide evidence that this belief is
plausible?.
Answer: A. No. The interval contains 0.
●● A large company offered gym memberships to its employees as part
of a program to keep employees healthy. A random sample of employees
with a gym membership and a random sample of employees without a
gym membership were taken, and the proportion of employees who had
taken at least one sick day in the past month was recorded for each
sample. A 90 percent confidence interval for the difference in population
proportions (membership minus no membership) was found to be
(−0.13, 0.05).
