Let X1, . . . , Xn be a random sample from the exponential distribution with unknown

Question:

Let X1, . . . , Xn be a random sample from the exponential with unknown parameter θ. Let 0 < θ0 < θ1 be two possible values of the parameter. Suppose that we wish to test the following hypotheses:
H0: θ = θ0,
H1: θ = θ1.
For each α0 ∈ (0, 1), show that among all tests δ satisfying α(δ) ≤ α0, the test with the smallest probability of type II error will reject H0 if where c is the α0 quantile of the gamma with parameters n and θ0. 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...