Question 4: (20 points) Let X, X,,..., X be iid observations from a Bernoulli( p) distribution with unknown p, the pdf of X is given by f(x; p) = p*(1- p)" * for xe {0, 1) a) Formulate the likelihood ratio test (LRT) for testing Ho: p = 0.75 vs. Ho: p # 0.75 (10 points) b) Write down the equations needed to determine the sample size n and the critical value c such that the size of the test when p = 0.75 is 0.05 and the power for detecting p = 0.5 is 0.9 (10 points)