Question 2 Let o = my -p, and a* be the critical value for a size o test. Then for a two-sided alternative HA : My / ux the power function for z is y-I-6 y-I - d Y(6) = P&[ |=[ > z* ] = '8 Z + P& Oc Oc Oc Oc =1-$(2*0:/0- -6/0.) +0(-2*0-/0. -6/0.) where (u) is the cumulative distribution function of a N(0, 1) (a) Take or = 0.05, 6 = 1,0, = 1 and n, = 10 Compute the Power y(6) when ny = n, and Oy = 01 HINT:| pnorm () ] (b) Now let ny = kn, and of = aoz for integer values of k, a Write an R program to create a k x a table of Powers for the psuedo pooled z-test (c) When does Power start to decrease ?