SOC At St. Algebra College, the sociology and psychology departments have been feuding for years about the respective quality of their programs. In an attempt to resolve the dispute, you have gathered data about the graduate school experience of random samples of both groups of majors. The results are presented below: the proportion of majors who applied to graduate schools, the proportion of majors accepted into their preferred programs, and the proportion of these who completed their programs. As measured by these data, is there a signifi cant difference in program quality?

a. Proportion of majors who applied to graduate school are as follows.

Sample 1

(Sociology)

Sample 2

(Psychology)

P s 1 = 0.53 P s 2 = 0.40 N1 = 150 N2 = 175

b. Proportion accepted by program of fi rst choice are as follows:

Sample 1

(Sociology)

Sample 2

(Psychology)

P s 1 = 0.75 P s 2 = 0.85 N1 = 80 N2 = 70