5. Suppose X1, , X. is a sample of size n from a geometric distribution with parameter p, which has discrete pdf px(k;p) = (1 — p)k—lp for k = 1,2,3, .... Consider the test that rejects H. when X > c,...

5. Suppose X1, , X. is a sample of size n from a geometric distribution with parameter p, which has discrete pdf px(k;p) = (1 — p)k—lp for k = 1,2,3, .... Consider the test that rejects H. when X > c, where c > O. Show that this test is uniformly most powerful for testing Ho : p = po against H1 P < po.>