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 below 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." You must state your hypotheses; compute the test statistic; and explain your decision for each. a. Family size (proportion of families with four or more children) City: proportion = 0.21 Sample: proportion = 0.26 b. Father's occupational stability (average years in present job) City: mean = 5.2 Sample: mean = 3.7, s = 0.5 c. Relations with kin (proportion of families that have contact with kin at least once/ week) City: proportion = 0.82 Sample: proportion = 0.43
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 below 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." You must state your hypotheses; compute the test statistic; and explain your decision for each.
a. Family size (proportion of families with four or more children)
City: proportion = 0.21 Sample: proportion = 0.26
b. Father's occupational stability (average years in present job)
City: mean = 5.2 Sample: mean = 3.7, s = 0.5
c. Relations with kin (proportion of families that have contact with kin at least once/ week)
City: proportion = 0.82 Sample: proportion = 0.43
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