Probability that 30% of students play fantasy sports
Suppose 30% of students play fantasy sports, that is, ¼ = 0:3. You have drawn a simple random sample of size 400 from this population. Let p denote the proportion of the sample that play fantasy sports. Compute the probability that for your sample of 400 students, p will fall between .27 to .33 (i.e., within +/- .03 of .3).