Let X1,...,Xn be i.i.d. with the Poisson distribution
Chapter 9, Problem 24(choose chapter or problem)
Let X1,...,Xn be i.i.d. with the Poisson distribution having mean . Let Y = n i=1 Xi. a. Suppose that we wish to test the hypotheses H0 : 1 versus H1 : < 1. Show that the test reject H0 if Y = 0 is uniformly most powerful level 0 for some number 0. Also find 0. b. Find the power function of the test from part (a)
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