A new drug for arthritis has potential for increasing your company's revenue enormously. Then you receive the following information from a clinical trial. The primary group taking your drug is 45-54 year old men, and the heart attack rate is 16% in a sample of 250 men in this age group in your clinical trial. A) Give a 95% percent confidence interval to for the proportion of men having heart attacks. (12 points)
i) Using the bootstrap percentile method(submit screenshot as well)

ii) using the formula for proportions

B) Does this confidence interval include the value 1.5% (annual heart attack rate for men in this age group?) (3 points)

C) Assuming the heart attack rate for men is larger than woman what is the maximum sample size needed to get a 99% confidence interval for the proportion having heart attacks within +/- 1% . (10 points)