33. Power For a hypothesis test with a specified significance level

a, the probability of a type I error is

a, whereas the probability b of a type II error depends on the particular value of p that is used as an alternative to the null hypothesis.

a. Using an alternative hypothesis of p , 0.4, a sample size of n 5 50, and assuming that the true value of p is 0.25, find the power of the test. Use the procedure given in part

(a) of Exercise 47 in Section 8-2. [Hint: In Step 3, use the values p 5 0.25 and

b. Find the value of

b, the probability of making a type II error.

c. Given the conditions cited in part (a), what do the results indicate about the effectiveness of the hypothesis test?