The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. $$\begin{array} { l l }
\text { Political Party } & \text { Support } \
\text { Democrats } & 100 \
\text { Republicans } & 120 \
\text { Independents } & 80
\end{array}$$ We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.The number of degrees of freedom associated with this problem is
A) 2.
B) 3.
C) 300.
D) 299.

Question

The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. $$\begin{array} { l l } 
\text { Political Party } & \text { Support } \
\text { Democrats } & 100 \
\text { Republicans } & 120 \
\text { Independents } & 80
\end{array}$$   We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.The number of degrees of freedom associated with this problem is
A) 2.
B) 3.
C) 300.
D) 299.

Quizplus · Accepted Answer

The degrees of freedom for a chi-square test for uniform distribution is calculated as the number of categories minus one. Here, there are three political parties (categories), so the degrees of freedom is 3 - 1 = 2.

The Following Table Shows the Number of Individuals in a Sample