For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due to rounding. Ina combined study of northern pike, cutthroat trout, rainbow trout,and lake trout, it was found that 24 out of 851 fish died whencaught and released using barbless hooks on flies or lures. Allhooks were removed from the fish.

(a) Let p represent the proportion of all pike and trout thatdie (i.e., p is the mortality rate) when caught and released usingbarbless hooks. Find a point estimate for p. (Round your answer tofour decimal places.)

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

lower limit

upper limit

Give a brief explanation of the meaning of the interval.

1% of the confidence intervals created using this method wouldinclude the true catch-and-release mortality rate.

1% of all confidence intervals would include the truecatch-and-release mortality rate.

99% of the confidence intervals created using this method wouldinclude the true catch-and-release mortality rate.

99% of all confidence intervals would include the truecatch-and-release mortality rate.

(c) Is the normal approximation to the binomial justified inthis problem? Explain.

Yes; np > 5 and nq > 5.

No; np > 5 and nq < 5.

No; np < 5 and nq > 5.

Yes; np < 5 and nq < 5.