A study collects information from 50 people about their ethnicity, where options are Caucasian, Hispanic, Native American, Asian, and African; and their religious views, where options are agnostic, Christian, atheist, and other. How many degrees of freedom are there?
A)9
B)12
C)20
D)3

Question

Quizplus · Accepted Answer

There are 12 degrees of freedom. A multiple sample chi-square is used to analyze this data, since there are two independent variables. The formula for degrees of freedom in a multiple sample chi-square is df=(#rows-1)x(#columns-1). There are 5 rows for ethnicity and 4 rows for religious views. So, degrees of freedom is 5 minus 1 (4) times 4 minus 1 (3).

A Study Collects Information from 50 People About Their Ethnicity