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

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 845 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:

Thanks

Explanation / Answer

a) Point Estimate (p) = 22/845 = 0.0260

b) Margin of error = 2.5758*Sqrt(0.0260*(1-0.0260)/845) = 0.0141

Lower Limit = 0.0260-0.0141 = 0.012

Upper Limit = 0.0260+0.0141 = 0.040

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