Problem 2. Let X have a Poisson distribution with intensity A = ml? for some known positive integer m and some positive unknown 3. (1) Consider the test 6(X, c) = 1[X > c] for testing the null hypothesis Ha : 9 = 30 versus the alternative H : 6' > .90. Find the smallest e such that this test has size at most .05. (2) Obtain a 95 percent condence region for B using the tests from part (1)