Let X be and suppose that it is desired to test versus HI: 8 = 0.9 (these being the only two values of 8 considered possible). Consider the test which rejects and accepts Ho otherwise. (a)...

Let X be

and suppose that it is desired to test

versus HI: 8 = 0.9 (these being the only two values of 8 considered possible). Consider the test which rejects

and accepts H_o
otherwise.

(a) Calculate the probabilities of Type I and Type II error for this test.

(b) If

is observed, what is the intuitive (conditional) probability of actually making an error in use of the test.