O Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0xª- S0x0-1, if 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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b)
Let X to be a random sample from a distribution with a probability density function given by
f(x; 0) = {0x0-¹,if 0 < x < 1, 0 € {1,2},
elsewhere
O
It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁:0 = 2.
Suppose that the test rejects Ho if x ≥
ii) Calculate the power of the test.
Transcribed Image Text:b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 0 € {1,2}, elsewhere O It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects Ho if x ≥ ii) Calculate the power of the test.
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