Question

A University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students. A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no". The point estimate for this problem is __________.

Answer 1

The point estimate for this problem is 0.48.

Explanation:

We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.

A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".

Let
`\hat p` = proportion of students who felt comfortable reporting cheating by their fellow students

Now, point estimate (
`\hat p`) is calculated as;

`\hat p=(X)/(n)`

where, X = number of students who answered yes = 1,344

n = number of students surveyed = 2,800

So, Point estimate (
`\hat p`) =
`(1,344)/(2,800)`

= 0.48 or 48%