Question 6 Please make sure answer is 100% correct, will upvote correct answer but downvote incorrect. Please read rounding instructions on questions.

Question 6 6 pts 9 1 0 Det You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 2.5% of the true population proportion. How large of a sample size is required? Show your work. Do not round mid-calculation. However, use a critical value accurate to three decimal places