Question

10. 45% of all marathon runners also enjoy biking. If many samples of 60 marathon runners are taken and the proportion of those who also enjoy biking is calculated for each sample, what will be the approximate value of the mean of the sample proportions?

Answer choices:
0.30
0.45
0.60
0.75

Answer 1

So, the answer is 0.45.

Explanation:

The mean of the sample proportions can be approximated using the formula:

mean = population proportion = 0.45

This is because the sample proportions are expected to be normally distributed around the population proportion, with a mean equal to the population proportion. Therefore, the approximate value of the mean of the sample proportions is 0.45.