Let X l,X 2,..., X \"be iid observations from a Bernoulli( p) distribution with unknown p, the pdf of X is given by f (x;p)= px(1- p)1' x for x 6 {0,1} a) Formulate the likelihood ratio test (LRT) for testing Ho: p = 0.75 vs. Ho: p at 0.7 5 (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)