The Principal at Thomas Jefferson High School Has Been Asked $\hat{ p}$

Essay

The principal at Thomas Jefferson 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 = 32 students and calculates a sampleproportion, $\hat{ p}$ = 0.8. "Now," he exclaims, "since my sample size is greater than 30,the sampling distribution of the sample proportion is approximately normal." Writea short paragraph that explains why his statement is not correct.