Data was collected on reaction time of both hands for an experiment.14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.

What sample size would be needed for a 99% confidence interval to have a margin of error,B , within .01 ?