Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with

Question:

Suppose that X1, . . . , Xn form a random sample from the Bernoulli with unknown parameter p, and suppose that it is desired to test the following hypotheses:
H0: p ≤ 1/2 ,
H1: p > 1/2.
Show that if the sample size is n = 20, then there exists a nonrandomized UMP test of these hypotheses at the level of significance α0 = 0.0577 and at the level of significance α0 = 0.0207. Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...