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Mathematics, 08.07.2020 19:01 asmita9876

In a large Midwestern university, a random sample of 100 entering freshmen in 1999 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 2000. In 2001 a random sample of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Let π1 and π­2 be the proportion of all entering freshmen in 1999 and 2001, respectively, 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 2001 has been reduced, as a result of the tougher admission standards adopted in 2000, compared to the proportion in 1999? To determine this, you test the hypothesis H0: π1=π2 vs. Ha: π1>π2. The p-value of your test is

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