You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximatelyp

=

38

%

p

=

38

%

. You would like to be 99.9% confident that your esimate is within 1.5% of the true population proportion. How large of a sample size is required?

n=

Do not round mid-calculation. However, use a critical value accurate to three decimal places.