Find the degrees of freedom for chi-square distribution.
The issue of how much have to be spent to solve particular U.S. social problems is a complex matter, and people have diverse and conflicting ideas on these issues. Race and social class have an impact on how people perceive the extent of government spending. The 2006 GSS contains several questions on these topics. For this exercise, we present race and the variable NATFARE that asked whether we were spending too much, too little, or the right amount of money to address welfare.
Spending on
|
Race of Respondent
|
Welfare
|
White
|
Black
|
Hispanic
|
Total
|
Too little
|
128
|
41
|
21
|
190
|
About right
|
197
|
32
|
21
|
250
|
Too much
|
185
|
31
|
19
|
235
|
Total
|
510
|
104
|
61
|
675
|
How several degrees of freedom for the table?
Test whether race and NATFAE are independent (α = 0.05). What do you conclude?