A random sample of size n is to be used to test the null hypothesis that the parameter θ of an exponential population equals θ0 against the alternative that it does not equal θ0. (a) Find an expression for the likelihood ratio statistic. (Note that, the ML estimator of the parameter θ of an exponential distribution is X.) (b) Use the result of Part (a) to show that the critical region of the likelihood ratio test can be written as xe−x/θ0 ≤ K.