In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 26 out of 855 ­sh died when caught and released using barbless hooks on ‑ies or lures. All hooks were removed from the ­sh (A National Symposium on Catch and Release Fishing, Humboldt State University Press).

(a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p.

(b) Find a 99% con­dence interval for p, and give a brief explanation of the meaning of the interval.

(c) Check Requirements Is the normal approximation to the binomial justi­ed in this problem? Explain.