Please answer only no 18. Thank you very much for your help

Q AS106%20Tmnrials.pdf (page 15 of 1a) a\" CS) HQSearch (a) Find the rejection region for the most powerful test of Hi: 6= 61] against H1: 6 - 61, assuming that 61 > 911. [Hint Make use of the 3:2 distribution] (13) Is the test given in part (a) unifomly most powerful for the alternative 19 > 60? 18) Let X1,X2, ,Xn denote arandom sample from a Bernoulli-distributed population with parameter p. That is, P(x1-lp) = p\"(1 -p)1"\". x1- = 0.1- (3) Suppose that we are interested in testing Ho :13 =po vasus H] :p =p1, wherepo k'. 1 (iii) Give the rejection region for the most poweril test of Ho versus H]. (b) Recall that 231:1 X'- has a binomial distribution with parameters n and p. Indicate how to determine the values of any constants contained in the rejection region derived in part [a(iii)]. (c) Is the test derived in part (a) unifomly most powerful for testing Ho : p = pa versus H1 :p >po? Why or why not? 19) Some tea experts claim that the taste of a cup of tea does not change according to whether the tea or the milk is added first to the cup. To test the hypothesis that people cannot tell the difference, an actuary organizes atasting experiment where an individual is asked to taste 8 randomly presented cups of tea; four of these cups were prepared with tea added first, and the other four with milk added first. The individual does not Q 'il'a'G Monro