Answered: Find a point estimate for p. (Round…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.2: Proportions

Problem 47WE

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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 that 28 out of 812 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 Give a brief explanation of the meaning of the interval. We are 99% confident that the true catch-and-release mortality rate falls within this interval. We are 99% confident that the true catch-and-release mortality rate falls outside this interval. We are 1% confident that the true catch-and-release mortality rate falls within this interval. We are 1% confident that the true catch-and-release mortality rate falls above this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. No; np < 5 and nq > 5. Yes; np < 5 and nq < 5. Yes; np > 5 and nq > 5. No; np > 5 and nq < 5.

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