Let X1,…,Xn be a random sample from a Poisson

Let X1,…,Xn be a random sample from a Poisson distribution with parameter ?Suppose you want to test H0: ? = 4 versus HA: ? > 4 and that your test procedure is to reject H0 if X ? k. Given n = 100, what value of k gives a test with significance level approximately equal to .05?

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