Consider n independent and identically distributed random variables from a distribution having the probability mass function P X x p 1 p x 1 1 where 0 p 1 i ii Show that C x xn 1X c is a best critical region for testing the null hypothesis Ho p 1 2 against the alternative hypothesis H p 3 4 Suppose n 121 and we require C in part i to have size 0 01 Using R attach R codes plot the power function K p for p 1 2