In: Statistics and Probability
Seventy-five percent of the students graduating from high school in a small Iowa farm town attend college. The towns chamber of commerce randomly selects 30 recent graduates and inquires whether or not they will attend college.
A) find the probability that at least 80% of the surveyed students will be attending college.
B) find the probability that at most 70% of the surveyed students will be attending college.
C) find the probability that between 65% and 85% of the surveyed students will be attending college.
D) why might the data gathered from this sample misestimate the proportion of students who will actually be attending college.