You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately $\displaystyle {p}^{\text{*}}={37}\%$. You would like to be 99% confident that you estimate is within 0.1% 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.