An SRS of 25 male faculty members at a large university found that 10 felt that the university was supportive of female and minority faculty. An independent SRS of 20 female faculty found that five felt that the university was supportive of female and minority faculty. Let P1 and P2 represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey.1. The margin of error for a 95% confidence interval for P1-P2 is:a) 0.345b) 0.269c) 0.220d) 0.1342. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? To determine this, you test the hyporthesesHo: P1=P2, Ha: P1>P2The P-value of your test is:a) larger than.05b) between .05 and .01c) between .01 and .001d) below .001