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= Consider a random sample of size one (n function f(y; 0) = 1) from the distribution with probability foy(0-1), if 0 0 10, otherwise. (a) To test Ho: 0 = 0o versus H₁ : 0 = 0a > 00, find a most powerful test. Let the positive constant to define the rejection region of the test be k. (b) Find the value of k so that at 0= 2 the size of the test is 5%. (c) Obtain the power function of the test in part (a).

= Consider a random sample of size one (n function f(y; 0) = 1) from the distribution with probability foy(0-1), if 0 0 10, otherwise. (a) To test Ho: 0 = 0o versus H₁ : 0 = 0a > 00, find a most powerful test. Let the positive constant to define the rejection region of the test be k. (b) Find the value of k so that at 0= 2 the size of the test is 5%. (c) Obtain the power function of the test in part (a).

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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Consider a random sample of size one (n = function f(y; 0) = 1) from the distribution with probability [0y(0-1), if 0<y<1 for @ > 0 0, otherwise. (a) To test Ho: 0 = 0o versus H₂ : 0 = a > 00, find a most powerful test. Let the positive constant to define the rejection region of the test be k. (b) Find the value of k so that at 0 = 2 the size of the test is 5%. (c) Obtain the power function of the test in part (a).
Transcribed Image Text:Consider a random sample of size one (n = function f(y; 0) = 1) from the distribution with probability [0y(0-1), if 0<y<1 for @ > 0 0, otherwise. (a) To test Ho: 0 = 0o versus H₂ : 0 = a > 00, find a most powerful test. Let the positive constant to define the rejection region of the test be k. (b) Find the value of k so that at 0 = 2 the size of the test is 5%. (c) Obtain the power function of the test in part (a).
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