The Principal at George Washington High School Has Been Asked $\hat{ p}$

Essay

The principal at George Washington High School has been asked to estimate theproportion of students at the school who drive to school and use the school parkinglot. He takes a random sample of size n = 40 students and calculates a sampleproportion, $\hat{ p}$ = 0.8. "Now," he exclaims, "since my sample size is pretty large, thesampling distribution of the sample proportion is approximately normal." W rite ashort paragraph that explains why his statement is not correct.