Continuation of Exercise 9-50. If it is really the situation that p = 0.15, how likely is

Question:

Continuation of Exercise 9-50. If it is really the situation that p = 0.15, how likely is it that the test procedure in Exercise 9-50 will not reject the null hypothesis? If p = 0.15, how large would the sample size have to be for us to have a probability of correctly rejecting the null hypothesis of 0.9?