Exhibit 11-6
The following shows the number of individuals in a sample of 300 who indicated they support the new tax proposal.
$\begin{array}{lc}\text { Political Party }&\text { Support }\
\text { Democrats } & 100 \
\text { Republicans } & 120 \
\text { Independents } & 80
\end{array}$ We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.
-Refer to Exhibit 11-6. The calculated value for the test statistic equals
A) 300
B) 4
C) 0
D) 8

Question

Exhibit 11-6
The following shows the number of individuals in a sample of 300 who indicated they support the new tax proposal.
 $\begin{array}{lc}\text { Political Party }&\text { Support }\
\text { Democrats } & 100 \
\text { Republicans } & 120 \
\text { Independents } & 80
\end{array}$ We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.
-Refer to Exhibit 11-6. The calculated value for the test statistic equals
A) 300
B) 4
C) 0
D) 8

Quizplus · Accepted Answer

The test statistic for uniform distribution is calculated using the chi-square test. The expected frequency for each group is 100 (since 300/3 = 100). The chi-square statistic is calculated as $\sum \frac{(O_i - E_i)^2}{E_i}$, where $O_i$ is the observed frequency and $E_i$ is the expected frequency. For Democrats, Republicans, and Independents, the chi-square values are $\frac{(100-100)^2}{100} = 0$, $\frac{(120-100)^2}{100} = 4$, and $\frac{(80-100)^2}{100} = 4$ respectively. Summing these gives a test statistic of 8.

Exhibit 11-6 the Following Shows the Number of Individuals in a Sample

Exhibit 11-6
the Following Shows the Number of Individuals in a Sample