Question

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):fourth-years (pop. 2):n1=86,n2=96,x1=52x2=54 the rejection region for the standardized test statistic:

Answer 1

p1=44/88=.50; p2=57/85=.67. Under the null hypothesis of no difference, we pool the data to estimate the common p of (44+57)/(88+85)=.584. The test statistic is (.67-.50)/sqrt[(.584)(1-.584)(1/88 + 1/85)]=2.268 (which is stat sig. at a .095 level).