Assume that we wish to test at significance level a = 0.05 the hypothesis that a computer program randomly prints a 0 or a 1 (that is, p = 0.5) against the alternative that it does not. (a) Find the...

Assume that we wish to test at significance level a = 0.05 the

hypothesis that a computer program randomly prints a 0 or a 1

(that is, p = 0.5) against the alternative that it does not.

(a) Find the critical region for a test based on 60 such

selections.

(b) Find the critical region for a test based on 100 such

selections.

(c) Sketch the power curves for the tests in parts (a) and (b)

and comment on the relationship between the two.