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}, (0, elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects H₁ if x ≥ ³ i) Find the level of significance of the test, a.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
It is desired to test a null hypothesis H₁:0 = 1 against the alternative hypothesis H₁:0 = 2.
Suppose that the test rejects Ho if x ≥
x>1/³
i) Find the level of significance of the test, a.
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 It is desired to test a null hypothesis H₁:0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects Ho if x ≥ x>1/³ i) Find the level of significance of the test, a.
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