Question: Suppose we are sampling from a population with a Poisson distribution given by the probability function P(Xi = k) = p(k) = (^k/k!)*e^ . Consider

Suppose we are sampling from a population with a Poisson distribution given by the probability function P(Xi = k) = p(k) = (^k/k!)*e^ . Consider the two simple hypotheses: H0 : the parameter equals 2, H1 : the parameter equals 1. For a sample size of n = 7, describe how to use the Neyman-Pearson Lemma to produce a most powerful critical region for testing these hypotheses with = 0.01.

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