Give all answers to four decimal places. There are four different blood types that people have A, B, AB and O. We will take a random sample of 15 people and conduct a test of H0: p = 0.45 vs Ha: p < 0.45 to determine whether there is evidence that the true proportion of people with type A blood is less than 0.45. It is decided that the null hypothesis will be rejected if .
(a) What is the level of significance of this test?
(b) What is the probability of making a Type II Error if the true proportion of people with type A blood is actually 0.2 ?