In a questionnaire, a random sample of students were asked whether they studied for more than four hours to prepare for an upcoming chapter test. The questionnaire resulted in a sample proportion of   p ′ = 0.58  , with a sampling standard deviation of   σ p ′ = 0.11  , who studied more than four hours.  Using the empirical rule, write a   99.7 %   confidence interval for the true proportion of students who studied for more than four hours.