Let X1, ...,X10 be a random sample from a POI() distribution. Find: (i) The critical region for the most powerful test of hypothesis that

Let X1, ...,X10 be a random sample from a POI(λ) distribution. Find: (i) The critical region for the most powerful test of hypothesis that θ = 0.7 against the alternative that θ = 0.2. Use significance level α = 0.05. (ii) The size of the test in

(i) and the power for θ = 0.2. (iii) The p-value if the data are as follows: 1, 0, 0, 2, 0, 0, 0, 1, 0, 0. Interpret.