Which of the following are the mean and standard deviation of the sampling distribution of the sample proportion p̂?

a. Mean = 0.30, SD = 0.017

b. Mean = 0.30, SD = 0.55

c. Mean = 0.30, SD = 0.0003

d. Mean = 225, SD = 12.5

e. Mean = 225, SD = 157.5

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.