A random sample of size n is to be used to test the null hypothesis that the parameter Icirc cedil of an exponential population equals Icirc cedil 0 against the alternative that it does not equal Icirc cedil 0 (a) Find an expression for the likelihood ratio statistic (b) Use the result of part (a) to show that the critical region of the likelihood ratio test can be written as I e SK 3 00

Question: A random sample of size n is to be used to test the null hypothesis that the parameter Î¸ of an exponential population equals Î¸0

A random sample of size n is to be used to test the null hypothesis that the parameter Î¸ of an exponential population equals Î¸0 against the alternative that it does not equal Î¸0.
(a) Find an expression for the likelihood ratio statistic.
(b) Use the result of part (a) to show that the critical region of the likelihood ratio test can be written as

I.e-/ SK -3/00

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