When solving for the sample size needed to compute a 95 percent confidence interval for a population proportion p, having a given error bound e, we choose a value of that: makes as close to .5 as reasonably possible. makes as small as reasonably possible. both makes as large as reasonably possible and makes as close to .25 as reasonably possible are correct. makes as close to .25 as reasonably possible. makes as large as reasonably possible.