Question

You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 170 men, and 70% own cats. You sample 190 women, and 40% own cats. Find the proportion of the pooled samples, ( p c pc ), as a decimal, rounded to two decimal places.

Answer 1

The proportion of the pooled samples is 0.54.

Explanation:

We have that:

70% of men own cats.

The proportion of men in the sample is:

`(170)/(170+190) = 0.4722`

40% of women own cats.

The proportion of women in the sample is: 1 - 0.4722 = 0.5278

Proportion of the pooled samples

`p = 0.7*0.4722 + 0.4*0.5278 = 0.54`

The proportion of the pooled samples is 0.54.