n a survey of 1000 adult Americans, 45.7% indicated that they were somewhat interested or very interested in having web access in their cars. Suppose that the marketing manager of a car manufacturer claims that the 45.7% is based only on a sample and that 45.7% is close to half, so there is no reason to believe that the proportion of all adult Americans who want car web access is less than 0.50. Is the marketing manager correct in his claim? Provide statistical evidence to support your answer. For purposes of this exercise, assume that the sample can be considered as representative of adult Americans. Test the relevant hypotheses using  ? = 0.05.   Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z= P-value= chose the conclusion in the context of the problem. a) Reject H0. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is correct in his claim. b) Fail to reject H0. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is not correct in his claim.     c) Fail to reject H0. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is correct in his claim. d) Reject H0. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is not correct in his claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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In a survey of 1000 adult Americans, 45.7% indicated that they were somewhat interested or very interested in having web access in their cars. Suppose that the marketing manager of a car manufacturer claims that the 45.7% is based only on a sample and that 45.7% is close to half, so there is no reason to believe that the proportion of all adult Americans who want car web access is less than 0.50. Is the marketing manager correct in his claim? Provide statistical evidence to support your answer. For purposes of this exercise, assume that the sample can be considered as representative of adult Americans. Test the relevant hypotheses using 
? = 0.05.
 
Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z=
P-value=
chose the conclusion in the context of the problem.
a) Reject H0. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is correct in his claim.
b) Fail to reject H0. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is not correct in his claim.    
c) Fail to reject H0. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is correct in his claim.
d) Reject H0. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.5. The marketing manager is not correct in his claim.
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