I need help solving this step by step please
G S Scholarships.com. X 13. 0/1 13. In a large Midwestern university (with the class of entering freshmen being on the order of 6000 or more students), an SRS of 100 entering freshmen in 1993 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1995. In 1997, an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Let p, be the proportion of all entering freshmen in 1993 who graduated in the bottom third of their high school class, and let pa be the proportion of all entering freshmen in 1997 who graduated in the bottom third of their high school class. Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 1997 has been reduced as a result of the tougher admission standards adopted in 1995, compared to the proportion in 1993? To determine this, you test the hypotheses Ho: P, = Pz. Ha: Pi > Pz at the a = 0.05 level. You calculate a test statistic of 1.980. Which of the following is the appropriate P-value and conclusion for your test? a. P-value = 0.047; fail to reject Ho; we do not have evidence that the proportion who graduated in the bottom third of their class has been reduced. b. P-value = 0.047; accept Ha; there is evidence that the proportion who graduated in the bottom third of their class has been reduced c. P-value = 0.024; fail to reject Ho; we do not have evidence that the proportion who graduated in the bottom third of their class has been reduced d. P-value = 0.024; reject Ho; we have evidence that the proportion who graduated in the bottom third of their class has been reduced e. P-value = 0.024; fail to reject Ho; we have evidence that the proportion who graduated in the bottom third of their class has not changed a