In a survey of 1000 adult Americans, 45.9% 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 45.9% is based only on a sample and that 45.9% 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. a. 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= b. State the conclusion in the context of the problem. a. 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. b. 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. 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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Description: In a survey of 1000 adult Americans, 45.9% 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 45.9% is based only on a sample an

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a survey of 1000 adult Americans, 45.9% 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 45.9% is based only on a sample and that 45.9% 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.)

P-value=

State the conclusion in the context of the problem.

a. 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.

b. 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.

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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