For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Case studies showed that out of 10,069 convicts who escaped from certain...

(a) Let
p
represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate for
p. (Round your answer to four decimal places.)




(b) Find a 99% confidence interval for
p. (Round your answers to three decimal places.)

lower limit
upper limit