Let X have the exponential distribution with parameter Suppose that we wish to test the hypotheses H0 1 versus H1 1 Consider the test procedure that rejects H0 if X 1 a Determine the power function of the test b Compute the size of the test

Question: Let X have the exponential distribution with parameter . Suppose that we wish to test the hypotheses H0 : 1 versus H1 :

Let X have the exponential with parameter β. Suppose that we wish to test the hypotheses H0 : β ≥ 1 versus H1 :β < 1. Consider the test procedure δ that rejects H0 if X ≥ 1.
a. Determine the power function of the test.
b. Compute the size of the test.

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