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 of10,137convicts who escaped from certain prisons, only8146were 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.)lower limit

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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.

A random sample of5400physicians in Colorado showed that3332provided at least some charity care (i.e., treated poor people at no cost).

(a) Letprepresent the proportion of all Colorado physicians who provide some charity care. 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.)lower limit

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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 that24out of827fish 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.)lower limit

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