Question: Suppose that (x 1 ....x n ) is a sample from a Poisson(lambda) where lambda greater than zero is unknown. Determine the UMP size alpha

Suppose that (x1 ....xn ) is a sample from a Poisson(lambda) where lambda greater than zero is unknown. Determine the UMP size alpha test for testing H0 : lambda = lambda0 versus Ha : lambda=lambda1 where lambda1> lambda0

Is this test UMP size alpha for H0 : lambda= lambda0 versus Ha : lambda > lambda0 ?

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