In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 24 out of 821 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. A. We are 99% confident that the true catch-and-release mortality rate falls outside this interval. B. We are 1% confident that the true catch-and-release mortality rate falls above this interval. C. We are 99% confident that the true catch-and-release mortality rate falls within this interval. D. We are 1% confident that the true catch-and-release mortality rate falls within this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. A. No; np < 5 and nq > 5. B. Yes; np < 5 and nq < 5. C. Yes; np > 5 and nq > 5. D. No; np > 5 and nq < 5.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 24 out of 821 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.

A. We are 99% confident that the true catch-and-release mortality rate falls outside this interval.

B. We are 1% confident that the true catch-and-release mortality rate falls above this interval.

C. We are 99% confident that the true catch-and-release mortality rate falls within this interval.

D. We are 1% confident that the true catch-and-release mortality rate falls within this interval.

A. No; np < 5 and nq > 5.

B. Yes; np < 5 and nq < 5.

C. Yes; np > 5 and nq > 5.

D. No; np > 5 and nq < 5.

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