Let the random variable X be an observation from an exponential distribution with known parameter 0, i.e., Joe ex fx (x) - 10, x > 0 otherwise Consider the following hypothesis testing problem Ho: 0 = 1 H1: 0 - 1/2 (a) Assuming that the prior probabilities, P(Ho) and P(H, ) are unknown, determine the statistical test to decide between Ho and H1. (b) Find the power of the test when the significance level of the test is a