In a large midwestern university (the class of entering freshmen is 6000 or more
ID: 2947849 • Letter: I
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 2000. In 2001, an SRS of 100 entering freshmen found that 10 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 tougher admission standards adopted in 2000, compared to the proportion in 1999?
Use this information to make the best match below as it relates to an appropriate significance test.
The null and alternative hypotheses are
p?, the pooled estimate, is about
The D =p?1 - p?2 is about
The test statistic is about
The P-value for the test is about
The decision, using ? = 0.01, is to
H0: p1 = p2. , Ha: p1 < p2.
H0: p1 = p2. , Ha: p1 > p2.
0.1.
0.0239
not reject the null hypothesis.
reject the null hypothesis.
0.15.
0.9761
1.98.
- A. B. C. D. E. F. G. H. I. J.The null and alternative hypotheses are
- A. B. C. D. E. F. G. H. I. J.p?, the pooled estimate, is about
- A. B. C. D. E. F. G. H. I. J.The D =p?1 - p?2 is about
- A. B. C. D. E. F. G. H. I. J.The test statistic is about
- A. B. C. D. E. F. G. H. I. J.The P-value for the test is about
- A. B. C. D. E. F. G. H. I. J.The decision, using ? = 0.01, is to
A.H0: p1 = p2. , Ha: p1 < p2.
B.H0: p1 = p2. , Ha: p1 > p2.
C.0.1.
D.0.0239
E.not reject the null hypothesis.
F.reject the null hypothesis.
G.0.15.
H.0.9761
I.1.98.
J.1.96
In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS of 100 enteri freshmen in 1999 found that 20 finished in the bottom third of their high school class. Admission standards at university were tightened in 2000. In 2001, an SRS of 100 entering freshmen found that 10 finished in the bottom thi 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 botto 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 20 has been reduced, as a result of the tougher admission standards adopted in 2000, compared to the proportion 1999? Use this information to make the best match below as it relates to an appropriate significance test. -The null and alternative hypotheses are - p, the pooled estimate, is about ? The D-p1 -p2 is about -The test statistic is about C. D.0.0239 not reject the null hypothesis. reject the null hypothesis. 0.15. 0.9761 1.98. 1.96 -The P-value for the test is about ' The decision, using ? = 0.01, is to G. ? .Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Hence,
Hypotheses: A
Pooled estimate: G
Difference: C
Test statistic: I
P - value: D
Decision: E
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 20 100 10 100 0.1 0.050497525 1.9802951 0.0238Related Questions
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