For this problem, carry at least four digits after the decimal in your calculati

Question

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 22 out of 806 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish.

(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. (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

Explanation / Answer

a) p is 22/806=0.0273

b) z for 99% confidence is 2.576

lower limit is p-z*sqrt(p*(1-p)/N)=0.0273-2.576*sqrt(0.0273*(1-0.0273)/806)=0.0125

upper limit is p+z*sqrt(p*(1-p)/N)=0.0273+2.576*sqrt(0.0273*(1-0.0273)/806)=0.042

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