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 of10,018convicts who escaped from certain prisons, only7864were recaptured.

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

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

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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 that38out of857fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish.

(a) Letprepresent the proportion of all pike and trout that die (i.e.,pis the mortality rate) when caught and released using barbless hooks. Find a point estimate forp. (Round your answer to four decimal places.)

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

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