A restaurant would like to estimate the proportion of tips that exceed​ 18% of its dinner bills. Without any knowledge of the population​ proportion, determine the sample size needed to construct a 96​% confidence interval with a margin of error of no more than 4​%to estimate the proportion. The sample size needed is

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 restaurant would like to estimate the proportion of tips that exceed​ 18% of its dinner bills. Without any knowledge of the population​ proportion, determine the sample size needed to construct a 96​% confidence interval with a margin of error of no more than 4​%to estimate the proportion.

The sample size needed is
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