Question

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 = 0.3 vs Ha: p < 0.3 to determine whether there is evidence that the true proportion of people with type A blood is less than 0.3.
it is decided that the null hypothesis will be rejected if X< or equal to 4.

(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 0.09 ?