A researcher has compiled a file of information on a random sample of 317 families in a city that has chronic, long-term patterns of child abuse. Below are reported some of the characteristics of the...

A researcher has compiled a file of information on a random sample of 317 families in a city that has chronic, long-term patterns of child abuse. Below are reported 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.

a. Mothers’ educational level (proportion completing high school):

b. Family size (proportion of families with four or more children):

c. Mothers’ work status (proportion of mothers with jobs outside the home):

d. Relations with relatives (proportion of families that have contact with relatives at least once a week):

e. Fathers’ educational achievement (average years of formal schooling):

f. Fathers’ occupational stability (average years in present job):