Surveys were sent to a random sample of owners of all-wheel-drive (AWDAWD) vehicles and to a random
Question:
Surveys were sent to a random sample of owners of all-wheel-drive (AWDAWD) vehicles and to a random sample of owners of front-wheel-drive (FWDFWD) 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 (FWDFWD minus AWDAWD) for satisfied owners. The interval is given as (−0.01,0.12)(−0.01,0.12).
A car company believes that the proportion of satisfied owners of AWDAWD vehicles differs from the proportion of satisfied owners of FWDFWD vehicles. Does the confidence interval provide evidence that this belief is plausible?
A. No. The interval contains 0.
B. No. Most of the values in the interval are not close to 0.
C. No. The value of 0 is not in the middle of the interval.
D. Yes. The interval does contain 0.
E. Yes. There are more positive values in the interval than negative values.
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying