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In a survey of 1,000 adult Americans, 46.3% 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 46.3% is based only on a sample and that 46.3% 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 representative of adult Americans. Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: P + 0.50 versus H,: p = 0.50 O Ho: p = 0.50 versus H,: p < 0.50 Ho:P< 0.50 versus H: p > 0.50 O Ho: p = 0.50 versus H: p # 0.50 O Ho: p = 0.50 versus H: p > 0.50 Find the test statistic and P-value. (Use a table or technology.) z = P-value = State the conclusion in the problem context. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Fail to reject H,. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim. O Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Reject Ho. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim.

In a survey of 1,000 adult Americans, 46.3% 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 46.3% is based only on a sample and that 46.3% 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 representative of adult Americans. Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: P + 0.50 versus H,: p = 0.50 O Ho: p = 0.50 versus H,: p < 0.50 Ho:P< 0.50 versus H: p > 0.50 O Ho: p = 0.50 versus H: p # 0.50 O Ho: p = 0.50 versus H: p > 0.50 Find the test statistic and P-value. (Use a table or technology.) z = P-value = State the conclusion in the problem context. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Fail to reject H,. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim. O Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Reject Ho. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 1,000 adult Americans, 46.3% 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 46.3% is based only on a sample and that 46.3% 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 representative of adult Americans. Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: p + 0.50 versus H: p = 0.50 = 0.50 versus H.: p < 0.50 O Ho: p < 0.50 versus H. : p> 0.50 O Ho: p = 0.50 versus H : p= 0.50 O Ho: P = 0.50 versus H: p > 0.50 Find the test statistic and P-value. (Use a table or technology.) z = P-value = State the conclusion in the problem context. Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Fail to reject H,. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim. Fail to reject H,. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. O Reject Ho. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim.
Transcribed Image Text:In a survey of 1,000 adult Americans, 46.3% 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 46.3% is based only on a sample and that 46.3% 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 representative of adult Americans. Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: p + 0.50 versus H: p = 0.50 = 0.50 versus H.: p < 0.50 O Ho: p < 0.50 versus H. : p> 0.50 O Ho: p = 0.50 versus H : p= 0.50 O Ho: P = 0.50 versus H: p > 0.50 Find the test statistic and P-value. (Use a table or technology.) z = P-value = State the conclusion in the problem context. Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. Fail to reject H,. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim. Fail to reject H,. We do not have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is correct in his claim. O Reject Ho. We have convincing evidence that the proportion of all adult Americans who want car web access is less than 0.50. The marketing manager is not correct in his claim.
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