The registrar of a large university knows that 23 % of the students come to coll
ID: 2959577 • Letter: T
Question
The registrar of a large university knows that 23% of the students come to college with credit for an advance placement (AP) course. The registrar is going to conduct interviews with 100 students regarding their experiences at the university. Depending on which students are chosen, the proportion of students in the sample that have AP credit may vary.
Note: Report your answers to 3 decimal places.
In this situation what is the standard deviation of the sample proportion of students who have taken an AP course? 1
In a sample of 100 students, what is the probability that over 27% of the sample has AP credit? 2
In a sample of 200 students what is the probability that over 27% of the sample had AP credit? 3
Explanation / Answer
A) Use equation S.D. of P-hat = SR(p(1-p)/n); SR of (.23(1-.23))/100 = 0.0443959 p = ____ B) Use (p-hat - p)/S.D. of p-hat) to find z score. Then take that z score and subtract it from 1, because they want the probability of it over 27%. p = ___ again and p-hat = .27 C) Use the exact same method used in "B," except recalculate S.D. of p-hat using 200 as n.