A questionnaire is designed to investigate attitudes about political corruption in government. The experimenter would like to survey two different groups--Republicans and Democrats--and compare the responses to various "yes-no" questions for the two groups. The experimenter requires that the sampling error for the difference in the proportion of yes responses for the two groups is no more than 4 percentage points with probability equal to 0.95. If the two samples are both the same size, how large should the samples be?
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Question

A questionnaire is designed to investigate attitudes about political corruption in government. The experimenter would like to survey two different groups--Republicans and Democrats--and compare the responses to various "yes-no" questions for the two groups. The experimenter requires that the sampling error for the difference in the proportion of yes responses for the two groups is no more than  4 percentage points with probability equal to 0.95. If the two samples are both the same size, how large should the samples be?
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Quizplus · Accepted Answer

The Answer of A questionnaire is designed to investigate attitudes about political corruption in government. The experimenter would like to survey two different groups--Republicans and Democrats--and compare the responses to various "yes-no" questions for the two groups. The experimenter requires that the sampling error for the difference in the proportion of yes responses for the two groups is no more than  4 percentage points with probability equal to 0.95. If the two samples are both the same size, how large should the samples be?
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A Questionnaire Is Designed to Investigate Attitudes About Political Corruption