A sociologist wants to construct an80% confidence interval for the proportion of children aged8-10living in New York who own a cell phone.

A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 0.36. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

A sample of_____ children aged8-10 living in New York is needed to obtain an80% confidence interval with a margin of error of0.02 using the estimate0.36 forp.

Fill in the blank.