For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.What percentage of your campus student body is female? Letpbe the proportion of women students on your campus.(a)If no preliminary study is made to estimatep, how large a sample is needed to be 99% sure that a point estimatepwill be within a distance of0.07fromp? (Round your answer up to the nearest whole number.)

(b)A report indicates that approximately 61% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.)