Two random samples are taken, one from among first-year UVA students and the oth
ID: 3239873 • Letter: T
Question
Two random samples are taken, one from among first-year UVA students and the other from among fourth-year UVA students. Both samples are asked if they favor modifying the Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):n1=92,n2=93,x1=54x2=43 First-Years (Pop. 1) n 1 92 x 1 54 Fourth-Years (Pop. 2) n 2 93 x 2 43 Is there evidence, at an =0.015 0.015 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: B. The p-value is C. Your decision for the hypothesis test: A. Reject H0 H 0 . B. Do Not Reject H0 H 0 . C. Reject H1 H 1 . D. Do Not Reject H1 H 1 .
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion 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
Note: the standard error is calculated using a pooled estimate for the proportion
Hypothesis test results:
Hence,
A) Standardized test statistic = 1.697
B) p Value = 0.0898
C) Decision: Do not reject Ho. Option B
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 54 92 43 93 0.12459093 0.073435482 1.696604 0.0898Related Questions
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