The first sample had 49 subjects and 7 had blue eyes. The second sample had 465 subjects and 244 of these had blue eyes. What is the value of the pooled estimate of the proportion used to test the hypothesis that the population proportions of blue eyes are equal?

Question

The first sample had 49 subjects and 7 had blue eyes. The second sample had 465 subjects and 244 of these had blue eyes. What is the value of the pooled estimate of the proportion used to test the hypothesis that the population proportions of blue eyes are equal?

Answer 1

You will need to check a formula for a binomial proportion two-sample z-test, which will include a calculation for the value of the pooled estimate.

Here are some proportions you will need to consider:

Proportion of first sample = 7/49 which is approximately .143 in decimal form.

Proportion of second sample = 244/465 which is approximately .525 in decimal form.

I hope this brief explanation will help.