A prior study estimated hat p as 34 percent The analysts would like to conduct a second study on the same topic with a margin of error, cap e , of 0 point 0 2 7 and a confidence level of 90 percent ( z to the th power times -score 1 point 6 4 5 ). What is the minimum sample size that should be used so the estimate of hat p will be within the required margin of error of the population proportion? n is equal to hat p times open paren 1 minus hat p close paren times open paren the fraction with numerator z to the th power times and denominator cap e close paren squared