Consider the hypothesis test X ∼ Binomial(100, p)

H0 : p = p0 H1 : p , p0, where p0 might be any value between 0 and 1. When you do this test, you’re asked to sketch a curve. Say whether each of the following statements about the curve is true or false.

a. The curve represents the distribution of X if H0 is true.

b. The curve represents the distribution of X if H1 is true.

c. The curve represents the likelihood of p under H0.

d. For a discrete distribution of X, the curve is an approximation to a barplot.