Question

How many men and women should the sample include. What were the steps you took to solve?

Answer 1

We are asked to determine the sample size to determine the difference in the proportion of men and women who own smartphones with a confidence of 99% and an error of no more than 0.03. If we assume that both samples are equal then we can use the following formula:

`n=\frac{Z^2_{(\alpha)/(2)}}{2E^2}`

Where Z is the confidence and E is the error. Replacing the values we get:

`n=((0.99)^2)/(2(0.03)^2)`

Solving the operations we get:

`n=544.5\cong545`

Therefore, each sample of men and women should be of 545.