The sampling distribution of p̂ is approximately Normal because

a. There are at least 7500 Division I college athletes.

b. np = 225 and n(1 − p) = 525 are both at least 10.

c. A random sample was chosen.

d. The athletes’ responses are quantitative.

e. The sampling distribution of p̂ always has this shape.

The magazine Sports Illustrated asked a random sample of 750 Division I college athletes, “Do you believe performance-enhancing drugs are a problem in college sports?” Suppose that 30% of all Division I athletes think that these drugs are a problem. Let p̂ be the sample proportion who say that these drugs are a problem.

Select the best answer.