A business student is interested in estimating the 99% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large...

A business student is interested in estimating the 99% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within four percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available?