The Department of Tourism in the state of California wants to know about hunters in the state: the proportion of hunters who come from out-of-state. The Director wants the estimate to be within 3 percentage points and wants to be 96.3% confident that the confidence interval will capture the true value of the parameter. Luckily, a similar study conducted two years ago had found that 31% of hunters had come from out-of-state. What sample size should be used?