Question

A sample of 38 students is chosen from a student body where 58% of all students own cell phones. If 24 of the students in this sample own cell phones, which is higher, the population proportion or the sample proportion?

Answer 1

The sample proportion

Explanation:

The population proportion is the proportion of all the population that satisfies a given parameter.

The sample proportion is the proportion of a sample that meet a given criteria

In the question, the population proportion of the students who own cell phones is the proportion of all students who own cell phones. While the sample proportion who own cell phones is the proportion of the sample who own cell phones

Here we have the population proportion given as 58% = 0.58

The sample proportion = 24/38 = 0.632

Therefore, the population proportion is lesser than the sample proportion.

Answer 2

the sample proportion is higher

Explanation:

What we must do is calculate the proportion of the population, we are left with the fact that out of 38 students 58% have cell phones, these are the proportion of the population, then they would be:

38 * 58% = 22.04 students

Now, the sample proportion is 24.

Therefore 22.04 < 24

Which means the sample proportion is higher