A New York Times/CBS News Poll asked a random sample of U.S. adults the question “Do you favor an amendment to the Constitution that would permit organized prayer in public schools?” Based on this poll, the 95% confidence interval for the population proportion who favor such an amendment is (0.63, 0.69). Based on this poll, a reporter claims that more than two-thirds of U.S. adults favor such an amendment. Use the confidence interval to evaluate the reporter’s claim. Because the value 23=0.66723=0.667 (and values greater than 2323) are in this interval, it is plausible that more than 2323 of the population favor such an amendment. Thus, there is convincing evidence that more than 2323 of U.S. adults favor such an amendment. Because 23=0.66723=0.667 is included in this interval, it is plausible that more than 2323 of U.S. adults favor such an amendment. 95% of the time there will be more than two-thirds of U.S. adults in favor of such an amendment. Because 0.95 > 0.667, the reporter’s claim is correct. Because the value 23=0.66723=0.667 (and values less than 2323) are in this interval, it is plausible that 2323 or less of the population favor such an amendment. Thus, there is not convincing evidence that more than 2323 of U.S. adults favor such an amendment. Because the value 23=0.66723=0.667 (and values less than 2323) are in this interval, it is plausible that 2323 or less of the population favor such an amendment. Thus, there is convincing evidence that more than 2323 of U.S. adults favor such an amendment.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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A New York Times/CBS News Poll asked a random sample of U.S. adults the question “Do you favor an amendment to the Constitution that would permit organized prayer in public schools?” Based on this poll, the 95% confidence interval for the population proportion who favor such an amendment is (0.63, 0.69). Based on this poll, a reporter claims that more than two-thirds of U.S. adults favor such an amendment.

Use the confidence interval to evaluate the reporter’s claim.

Because the value 23=0.66723=0.667 (and values greater than 2323) are in this interval, it is plausible that more than 2323 of the population favor such an amendment. Thus, there is convincing evidence that more than 2323 of U.S. adults favor such an amendment.

Because 23=0.66723=0.667 is included in this interval, it is plausible that more than 2323 of U.S. adults favor such an amendment.

95% of the time there will be more than two-thirds of U.S. adults in favor of such an amendment. Because 0.95 > 0.667, the reporter’s claim is correct.

Because the value 23=0.66723=0.667 (and values less than 2323) are in this interval, it is plausible that 2323 or less of the population favor such an amendment. Thus, there is not convincing evidence that more than 2323 of U.S. adults favor such an amendment.

Because the value 23=0.66723=0.667 (and values less than 2323) are in this interval, it is plausible that 2323 or less of the population favor such an amendment. Thus, there is convincing evidence that more than 2323 of U.S. adults favor such an amendment.

Expert Solution

Step 1

From the provided information,

Confidence level = 95%

Confidence limit = (0.63, 0.69)

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