In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 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 outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% 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 within this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. Yes; np < 5 and nq < 5.
In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 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 outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% 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 within this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. Yes; 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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In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 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.)
Give a brief explanation of the meaning of the interval.
(c) Is the normal approximation to the binomial justified in this problem? Explain.
(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 outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% 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 within this interval.
(c) Is the normal approximation to the binomial justified in this problem? Explain.
Yes; np < 5 and nq < 5.
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