# Cluster Sampling involving Design Effect

A survey of residents is performed using cluster sampling. The design effect is 3.00. From the survey, the estimated proportion of people who are happy with their insurance company is 0.42 with a standard error of 0.05. How many people were in the sample?

Can someone please explain as to how I am to do this?

Thank you

• Please add the [self-study] tag & read its wiki. Then tell us what you understand thus far, what you've tried & where you're stuck. We'll provide hints to help you get unstuck. – gung Jul 4 '15 at 0:32