b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = (0x0-1 (0x8-1,if 0

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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) = {0x®-¹,if 0 < x <1, 0 € {1,2},
elsewhere
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) = {0x®-¹,if 0 < x <1, 0 € {1,2}, elsewhere 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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