I hope that someone could help me with the following question of my textbook:
One generates a number x from a uniform distribution on the interval [0,θ]. One decides to test H0 : θ = 2 against H1 : θ = 2 by rejecting H0 if x ≤0.1 or x ≥ 1.9. a. Compute the probability of committing a type I error. b. Compute the probability of committing a type II error if the true value of θ is 2.5
So my understanding of this question is that it would not reject if x is 1.9-2.0 or 0.0-0.1.
The problem with this question is that I don't how to start. In my previous questions I had more information to solve this kind of questions. I think I understand what error type I and II mean. Type I means falsely rejected and type II falsely accepted.
According to the book, the answers are a:0.1 and b:0.72