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*10.97 Let Y1, Y2, .., Y, be independent and identically distributed random variables with discrete probability function given by y 1 2 3 p(y|0) 02 20(1 – 0) (1 –0)2 where 0 < 0 < 1. Let N, denote the number of observations equal to i for i = 1, 2, 3. oter 10 Hypothesis Testing a Derive the likelihood function L(0) as a function of N1, N2, and N3. b Find the most powerful test for testing Ho:0 = 0 versus Ha:0 = 0a, where 0, > 0o. Show that your test specifies that Ho be rejected for certain values of 2N1 + N2. c How do you determine the value of k so that the test has nominal level a? You need not do the actual computation. A clear description of how to determine k is adequate.

*10.97 Let Y1, Y2, .., Y, be independent and identically distributed random variables with discrete probability function given by y 1 2 3 p(y|0) 02 20(1 – 0) (1 –0)2 where 0 < 0 < 1. Let N, denote the number of observations equal to i for i = 1, 2, 3. oter 10 Hypothesis Testing a Derive the likelihood function L(0) as a function of N1, N2, and N3. b Find the most powerful test for testing Ho:0 = 0 versus Ha:0 = 0a, where 0, > 0o. Show that your test specifies that Ho be rejected for certain values of 2N1 + N2. c How do you determine the value of k so that the test has nominal level a? You need not do the actual computation. A clear description of how to determine k is adequate.

MATLAB: An Introduction with Applications
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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المجموعة 3 *10.97 Let Y1, Y2, ..., Y, be independent and identically distributed random variables with discrete probability function given by y 1 3 p(y|0) 02 20(1 – 0) (1 – 0)? where 0 < 0 < I. Let N, denote the number of observations equal to i for i = 1, 2, 3. 548 Chapter 10 Hypothesis Testing a Derive the likelihood function L(0) as a function of N1, N2, and N3. b Find the most powerful test for testing Ho:0 = 0 versus H, :0 = 0a, where 0 > 0o. Show that your test specifies that Ho be rejected for certain values of 2N1 + N2. c How do you determine the value of k so that the test has nominal level a? You need not do the actual computation. A clear description of how to determine k is adequate.
Transcribed Image Text:المجموعة 3 *10.97 Let Y1, Y2, ..., Y, be independent and identically distributed random variables with discrete probability function given by y 1 3 p(y|0) 02 20(1 – 0) (1 – 0)? where 0 < 0 < I. Let N, denote the number of observations equal to i for i = 1, 2, 3. 548 Chapter 10 Hypothesis Testing a Derive the likelihood function L(0) as a function of N1, N2, and N3. b Find the most powerful test for testing Ho:0 = 0 versus H, :0 = 0a, where 0 > 0o. Show that your test specifies that Ho be rejected for certain values of 2N1 + N2. c How do you determine the value of k so that the test has nominal level a? You need not do the actual computation. A clear description of how to determine k is adequate.
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