Question: The random variable, X, has density function

f(x) = 1/q , 0 < x < q, q > 0.

We wish to test the hypothesis

H₀: q = 5

H₁: q > 5

when we have only a single observed value of X.

Consider the test which rejects H₀ if X > c. Determine c so that a = 0.20 and draw the graph of its power function.