Chapter 8, Problem 8.13P

$\boxed{SOC}$ 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 rand on samples of both groups of majors. As measured by these data, is there a significant difference in program quality?

a. Proportion of majors who applied to graduate school:

Sample 1 (Sociology)	Sample 2 (Psychology)
$P_{s1}=0.53$	$P_{s2}=0.40$
$N_1=150$	$N_2=175$

b. Proportion accepted by program of first choice:

Sample 1 (Sociology)	Sample 2 (Psychology)
$P_{s1}=0.75$	$P_{s2}=0.86$
$N_1=80$	$N_2=70$

c. Proportion completing the program:

Sample 1 (Sociology)	Sample 2 (Psychology)
$P_{s1}=0.75$	$P_{s2}=0.70$
$N_1=60$	$N_2=60$