Chapter 7, Problem 7.15P

$\boxed{SOC/SW}$ A researcher has compiled a file of information on a random sample of 317 families that have chronic, long-term patterns of child abuse. Reported here are some of the characteristics of the sample, along with values for the city as a whole. For each trait, test the null hypothesis of "no difference” and summarize your Findings.

	Variable	City	Sample
a.	Mother’s educational level (proportion completing high school)	$P_u=0.65$	$P_s=0.61$
b.	Family size (proportion of families with four or more children)	$P_u=0.21$	$P_s=0.26$
c.	Mother’s work status (proportion of mothers with jobs outside the home)	$P_u=0.51$	$P_s=0.27$
d.	Relations with kin (proportion of families that have contact with kin at least once a week)	$P_u=0.82$	$P_s=0.43$
e.	Father’s educational achievement (average years of formal schooling)	$\mu =12.3$	$\begin{array}{c}\bar{X}=12.5\\ s=1.7\end{array}$
f.	Father’s occupational stability (average years in preset job)	$\mu =5.2$	$\begin{array}{c}\bar{X}=3.7\\ s=0.5\end{array}$