Question: Let Let X1, ..., X, be iid Geometric with parameter p, so that the pmf of X; is f(x) = p(1 - p)- for x

Let Let X1, ..., X, be iid Geometric with parameter p, so that the pmf of X; is f(x) = p(1 - p)- for x = 1, 2,3... The MLE of p is -. (a) Find the likelihood ratio test statistic. (b) If X = 5 and n = 75, compute the p-value for the likelihood ratio test of Ho : p = 0.25 versus H1 : p / 0.25

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