Chapter 8, Problem 8.12P

$\boxed{SW}$ A large counseling center needs to evaluate several experimental programs. Write a paragraph summarizing the results of these tests. Did the new programs work?

a. One program is designed for divorce counseling: the key feature of the program is its counselors, who are married couples working in teams. About half of all clients have been randomly assigned to this special program and half to the regular program, and the proportion of cases that eventually ended in divorce was recorded for both. The results for random samples of couples from both programs are reported here In terms of preventing divorce, did the new program work?

Sample 1 (Special Program)	Sample 2 (Regular Program)
$P_{s1}=0.53$	$P_{s2}=0.59$
$N_1=78$	$N_2=82$

b. The agency is also experimenting with a program that includes peer counseling for depressed teenagers. About half of all clients were randomly assigned to the new program. After a year, a random sample of teens from the new program was compared with a random sample that received standard counseling. In terms of the percentage of children who were judged to be “much imp roved,” did the new program work?

Sample 1 (Peer Counseling)	Sample 2 (Standard Program)
$P_{s1}=0.10$	$P_{s2}=0.15$
$N_1=52$	$N_2=56$