1. Suppose we oh "we ness, Me, which we model as realizations of IID random variables where Y, ~ Beta(a, I). Briefly explain why the joint likelihood for the data is II [1 mark (#)] 2. Show that the unique maximum likelihood estimate of a ia (x) [3 mark(a)] 1. Suppose we want to teat the hypotheas He:am I veron Hagiam 2 Argue that for a fixed significance level a, the decision rule for the most powerful test is to reject Ho If and only ! "-, . > C. for some constant c