In a large midwestern university (the class of entering freshmen
is 6000 or more students), an...
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In a large midwestern university (the class of entering freshmenis 6000 or more students), an SRS of 100 entering freshmen in 1999found that 20 finished in the bottom third of their high schoolclass. Admission standards at the university were tightened in2000. In 2001, an SRS of 100 entering freshmen found that 10finished in the bottom third of their high school class. Letp1 and p2 be the proportion of all enteringfreshmen in 1999 and 2001, respectively, who graduated in thebottom third of their high school class.Is there evidence that theproportion of freshmen who graduated in the bottom third of theirhigh school class in 2001 has been reduced, as a result of thetougher admission standards adopted in 2000, compared with theproportion in 1999? To determine this, you test the hypothesesH0: p1 = p2, Ha:p1 > p2. What conclusion should we make ifwe test at the 0.05 level of significance?
A. We reject the null hypothesis
B. We fail to reject the null hypothesis
.
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