For a hypothesis test with the specified significance level a, the probability of type 1 error is a, while the probability beta of a type 2 error depends on the specific value of p that is employed as an alternative to the null hypothesis.
A. Using an alternative hypothesis of p<0.4, a sample size of n=50, and supposing that the true value of p is 0.25, find out the power of the test.
B. Determine the value of beta, the probability of making a type 2 error.
C. Given the situation cited in part A, what do the results indicate regarding the effectiveness of hypothesis test