Case studies showed that out of 10,351 convicts who escaped from U.S. prisons, only 7867 were recaptured (The Book of Odds by Shook and Shook, Signet).
(a) Let p represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate for p.
(b) Find a 99% confidence interval for p. Give a brief statement of the meaning of the confidence interval.
(c) Is use of the normal approximation to the binomial justified in this problem? Explain.