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9. Sample size for an Interval estimate of a population proportion Aa Aa Suppose

ID: 3340460 • Letter: 9

Question

9. Sample size for an Interval estimate of a population proportion Aa Aa Suppose the Council of Economic Advlsers is conducting a study to estimate the proportion of U.S. households that are eligible for the earned income tax credit. The project manager desires a 0.02 margin of error at 99% confidence. The planning value for p is p* 0.13. Use the following Distributions tool to help you answer the question that follows. Select a Distribution Distributions To satisfy the desired margin of error, a sample size no smaller than is needed. 1,530 5,580 1,877

Explanation / Answer

solution:- option d. 1887
n = [zc^2 * p * (1 – p) ] / E^2
= [2.575^2 * 0.13 * 0.87] /0.02^2
= 1874.80
nearly 1887