The magazine Sports Illustrated asked a random sample of 750 Division 1 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 p be the sample proportion who
say that these drugs are a problem. The sampling distribution of p is
approximately Normal because
There are least 7570 Division I college athletes
np = 225 and n(1-P) = 525
a large sample size like n = 750 guarantees it
the sampling distribution of p always has this shape
a random sample was chosen