. Let X1, X2, ... , Xn be a random sample of Bernoulli trials b(1, p). (a) Show that a best critical region for testing H0: p = 0.9 against H1: p = 0.8 can be based on the statistic Y = n i = 1 Xi, which is b(n, p). (b) If C = {(x1, x2, ... , xn) : n i = 1 xi ≤ n(0.85)} and Y = n i = 1 Xi, find the value of n such that α = P[ Y ≤ n(0.85); p = 0.9 ] ≈ 0.10. Hint: Use the normal approximation for the binomial distribution. (c) What is the approximate value of β = P[