Consider again the conditions of Exercise 4, but suppose now that the following hypotheses are to be tested H0 1, H1 1 a Determine the power function of the test that specifies rejecting H0 if X 0 9 b What is the size of the test ...

Consider again the conditions of Exercise 4, but suppose now that the following hypotheses are to be

Question:

Consider again the conditions of Exercise 4, but suppose now that the following hypotheses are to be tested:
H0: θ ≥ 1,
H1: θ <1.
a. Determine the power function of the test δ that specifies rejecting H0 if X ≥ 0.9.
b. What is the size of the test δ?