A single observation of a random variable having a geometric distribution is to be used to test the null hypothesis Ho:theta=theta0 against the alternative Ha:theta=thetaa . Use the Neyman–Pearson...

A single observation of a random variable having a geometric distribution is to be used to test the null hypothesis Ho:theta=theta0  against the alternative Ha:theta=thetaa . Use the Neyman–Pearson lemma to find the most powerful test of size .  Is this test uniformly most powerful in testing Ho:theta=theta0  against the alternative Ha:theta>theta0 ? Explain your answer.