Let X1, , Xn be a sample from a Poisson distribution with parameter Show that a LRT of H0 l0 versus Ha l6 l0 rejects the null hypothesis if m1 or m2

Question: Let X1, . . ., Xn be a sample from a Poisson distribution with parameter . Show that a LRT of H0: = l0

Let X1, . . ., Xn be a sample from a Poisson with parameter λ. Show that a LRT of H0: λ = l0 versus Ha: l6 = l0 rejects the null hypothesis if m1 or ≤ m2:

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