Suppose that a random sample X₁, X2,..., X10 is from a poison distribution with mean 0. It isdesired to test a null hypothesis Ho: 0 = 0.1 against alternative H₁:0 = 0.5 at a level ofsignificance.a) Use Neyman Raphson method to show that the best test or uniformly most powerful testrejects Ho if xic where c satisfies the probability equationa = P(₁x₁ ≥c 10 = 0.1).b) If c = 3, show that Type I error is 0.0803 for the test in part a).X, has a poisson distribution with mean 100.Hint:

Answered: Image /qna-images/answer/899a2a03-9c84-4a7e-9a00-c83e572e55e9.jpg

Answered: a) Use Neyman Raphson method to show…

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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3.3
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a) Use Neyman Raphson method to show that the best test or uniformly most powerful test xic where c satisfies the probability equation rejects Ho if a = P(₁x₁c10 = 0.1). b) If c = 3, show that Type I error is 0.0803 for the test in part a). X, has a poisson distribution with mean 100. Hint: