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 here: 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 significant difference in program quality?

a. Proportion of majors who applied to graduate school:

SOC Sample 1 Sample 2 Sociology Psychology Ps10.53 Ps2 0.40 N1 150 N2 175 Sample 1 Sample 2 Sociology Psychology Ps10.75 Ps2 0.85 N1 80 N2 70 Sample 1 Sample 2 Sociology Psychology Ps10.75 Ps2 0.69 N1 60 N2 60

b. Proportion accepted by program of first choice:

c. Proportion completing the programs:

Sample 1 Sample 2 Crimeline Crimes Noncrimeline Crimes Cleared by Arrest Cleared by Arrest Ps10.35 Ps2 0.25 N1 178 N2 212