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

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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, 8 € (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 H₁ if x >
i) Find the level of significance of the test, a.
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, 8 € (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 H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
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, 8 € (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 H₁ if x >
i) Find the level of significance of the test, a.
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, 8 € (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 H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
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