Binomial Likelihood ratio test

3 Problem 3: Binomial Likelihood ratio test 20 Points Consider a sample Y from a binomial distribution with parameters in and 7r. Le. a likelihood function of: my : m, n] : (3) Wm yry. 1. If we were to test H0 : 71' = 7T0, derive the likelihood ratio to test this analytically. You may use the fact that the MLE for 7r is fr : Y Without Proof. Do this for a general n, Y and 7m. 2. What can you do to the likelihood ratio to obtain a good test statistic, and what is this test statistic's distribution under the null, Ho. 3. Then use no : .5 with n : 10 and y : 1 to test this. What is your conclusion