Question

In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS 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 1995. In 2001, an SRS of 100 entering freshmen found that 15 finished in the bottom third of their high school class. Let p1 and p2 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 newly adopted tougher admission standards, compared to the proportion in 1999? A. Hypotheses: Ho: p1 = p2 VS Ha: p1 > p2 B. Test Statistic value: z = (round to four decimal points) C. P-value: (round to four decimal points) D. Decision: Reject/fail to reject (choose one and copy and paste your choice) Ho E. Conclusion: At α=0.05, we have/do not have (choose one and copy and paste your choice) sufficient evidence to conclude 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 1995, compared to the proportion in 1999. F. A 95% confidence interval for the difference between two actual proportions, that is 95% CI for p1-p2 is (L = , U= )

          In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS 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 1995. In 2001, an SRS of 100 entering freshmen found that 15 finished in the bottom third of their high school class. Let p1 and p2 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 newly adopted tougher admission standards, compared to the proportion in 1999?

A. Hypotheses: Ho: p1 = p2 VS Ha: p1 > p2
B. Test Statistic value: z = (round to four decimal points)
C. P-value: (round to four decimal points)
D. Decision: Reject/fail to reject (choose one and copy and paste your choice) Ho
E. Conclusion: At α=0.05, we have/do not have (choose one and copy and paste your choice) sufficient evidence to conclude 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 1995, compared to the proportion in 1999.
F. A 95% confidence interval for the difference between two actual proportions, that is 95% CI for p1-p2 is (L = , U= )

Added by Lourdes G.

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