We would like to know whether there was a difference between the proportion of callbacks for applications the researchers identified as being perceived as female and the proportion of callbacks for applications the researchers identified as being perceived as male. Of the 3 , 746 3,746 applications with names perceived as female, 309 309 received callbacks. Of the 1 , 124 1,124 applications with names perceived as male, 83 83 received callbacks. What is the 95 % 95% confidence interval for the difference in proportions of applicants who received callbacks between those perceived as female and those perceived as male? 95 % 95% Confidence Interval =