Auniversity financial aid office polled a random sample of 528 male undergraduate students and 651 female undergraduate students. each of the students was asked whether or not they were employed during the previous summer. 295 of the male students and 463 of the female students said that they had worked during the previous summer. give a 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer. a) find the values of the two sample proportions (round to three decimals)b) find the critical value that should be used in constructing the confidence interval. c) find the value of the standard error. round your answer to three decimal places. d) construct the 95% confidence interval. round your answers to three decimal places.