Question 1113346: Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below:
First-Years (Pop. 1):n1=94,x1=51
Fourth-Years (Pop. 2):,n2=87,x2=55
Is there evidence, at an α=0.05 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:
-1.223027281 (correct answer)
B. The rejection region for the standardized test statistic: ?
C. The p-value is ?
D. Your decision for the hypothesis test: ?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The rejection region is where the z value for the 2 proportion test > 1.96 or < -1.96
Fail to reject with insufficient evidence
p-value is where z=-1.223
This is a p-value of 0.22.
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