Question: 2. Suppose that we have two independent binomial random variables X m Binomial(u, p2} and Y m Binomial(m, p3,). (a) Find the MLE for 31

2. Suppose that we have two independent binomial random variables X m Binomial(u, p2} and Y m Binomial(m, p3,). (a) Find the MLE for 31 under the assumption that p = pm = p,,. (b) Find the log likelihood ratio, A, for testing Hg : p3 = 10,, vs. Ha : pm 79 p3,. {c} Evaluate the value of this statistic if u = 378, X = 9'5, m = 432, and Y = 123. Decide whether we should reject the null hypothesis at 0.05 level

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