You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.4. You would like to be 99% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.4. You would like to be 99% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?

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Step 1

It has been provided that

Population proportion (p) = 0.4

Margin of error (E) = 5% = 0.05

Confidence level = 99%

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