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supew L(8) A = supen L(0) where n is the sample size, Ymaz is the largest sample value, and 0o is the null hypothesis of th Given a sample of size 5: y₁ = 0.3, y₁ = 0.6, y₁ = 0.62, y₁ = 0.53, y₁ = 0.47 from the popu interested in the test: Ho: 0 = 1 versus H₁ : 0 < 1. = Ymax 00 (a) Suppose that we want the type I error to be a = 0.05, find the critical value X* for the lik (b) Does the given sample satisfy the inequality A ≤A* ? (c) Should Ho be rejected based on your answer in (b)? Explain.

supew L(8) A = supen L(0) where n is the sample size, Ymaz is the largest sample value, and 0o is the null hypothesis of th Given a sample of size 5: y₁ = 0.3, y₁ = 0.6, y₁ = 0.62, y₁ = 0.53, y₁ = 0.47 from the popu interested in the test: Ho: 0 = 1 versus H₁ : 0 < 1. = Ymax 00 (a) Suppose that we want the type I error to be a = 0.05, find the critical value X* for the lik (b) Does the given sample satisfy the inequality A ≤A* ? (c) Should Ho be rejected based on your answer in (b)? Explain.

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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A01)  

A = supew L(0) supen L(0) = Ymax 00 n where n is the sample size, Ymax is the largest sample value, and 0o is the null hypothesis of the parameter. Given a sample of size 5: y₁ = 0.3, y₁ = 0.6, y₁ = 0.62, y₁ = 0.53, y₁ = 0.47 from the population, we are interested in the test: Ho: 0 = 1 versus H₁ : 0 < 1. (a) Suppose that we want the type I error to be a = 0.05, find the critical value X* for the likelihood ratio. (b) Does the given sample satisfy the inequality A ≤ X* ? (c) Should Ho be rejected based on your answer in (b)? Explain.
Transcribed Image Text:A = supew L(0) supen L(0) = Ymax 00 n where n is the sample size, Ymax is the largest sample value, and 0o is the null hypothesis of the parameter. Given a sample of size 5: y₁ = 0.3, y₁ = 0.6, y₁ = 0.62, y₁ = 0.53, y₁ = 0.47 from the population, we are interested in the test: Ho: 0 = 1 versus H₁ : 0 < 1. (a) Suppose that we want the type I error to be a = 0.05, find the critical value X* for the likelihood ratio. (b) Does the given sample satisfy the inequality A ≤ X* ? (c) Should Ho be rejected based on your answer in (b)? Explain.
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