In a large northwestern university, an SRS of 100 entering freshmen in 1988 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1990. In 1992 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Letting p1 and p2 be the proportion of all entering freshmen in 1988 and 1992, 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 1992 has been reduced

Question

In a large northwestern university, an SRS of 100 entering freshmen in 1988 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1990. In 1992 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Letting p1 and p2 be the proportion of all entering freshmen in 1988 and 1992, 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 1992 has been reduced

mollylasko · Answer

as a result of the tougher admission standards adopted in 1990, compared to the proportion in 1988? To determine this, you test the hypotheses:

H0:p1=p2 
HA:p1>p2

What is the p-value of your test?