"A single observation is taken from the Bi(2,theta) distribution. Idenitfy all eight possible tests of the hypotheses:

H0: theta = 0.5

H1: theta = 0.75

and in each case give the type 1 and 2 error probabilities. Which test is preferred?"

I am stuck on identifying the 8 tests. Is this just saying where theta could be relative to H0 and H1?

Any help most welcome, thanks.