(Solved): sample of size 1 is taken from a Poisson() distribution. To test H0 :
= 1 against H1 : = 2, ...
sample of size 1 is taken from a Poisson(λ) distribution. To test H0 :
λ = 1 against H1 : λ = 2, consider the test
φ(X) =
1 X > 3
0 X ≤ 3
Find the probabilities of Type I and Type II errors and the power of the
test at λ = 2.