4. For each case below, write down the form of the Uniformly most-powerful size-a test of $H_0$: \theta = \theta_0 versus $H_1$: \theta > \theta_0. Please simplify the test as much as possible.
(a) $X_1, \dots, X_n \sim iid \text{Ber}(\theta)$
(b) $X_1, \dots, X_n \sim iid \text{Pois}(\theta)$
(c) $X_1, \dots, X_n \sim iid \mathcal{N}(\theta, 1)$
(d) $X_1, \dots, X_n \sim iid \mathcal{N}(0, \theta)$
