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A restaurant would Ike to estimate the proportion of tips that exceed 18% of its dinner bills

Economics

A restaurant would Ike 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 98% confidence interval with a margin of error of no more than 8% estimate the proportion, 
The sample size needed ? (Round up to the nearest integer) 
 

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With no prior knowledge of proportion , p = 0.50

Sample size = Z402.png/2 * p ( 1 - p) / E2

= 2.05372 * 0.5 * 0.5 / 0.082

= 164.75