Exhibit 11-1
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
Do you support capital punishment?
$\begin{array}{lc}
\begin{array}{l}
\text { Do you support } \
\text { capital punishment? }
\end{array} & \begin{array}{c}
\text { Number of } \
\text { individuals }
\end{array} \
\text { Yes } & 40 \
\text { No } & 60 \
\text { No Opinion } & 50
\end{array}$ We are interested in determining whether or not the opinions of the individuals as to Yes, No, and No Opinion) are uniformly distributed.
-Refer to Exhibit 11-1. The calculated value for the test statistic equals
A) 2
B) -2
C) 20
D) 4

Question

Exhibit 11-1
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
Do you support capital punishment?
 $\begin{array}{lc}
\begin{array}{l}
\text { Do you support } \
\text { capital punishment? }
\end{array} & \begin{array}{c}
\text { Number of } \
\text { individuals }
\end{array} \
\text { Yes } & 40 \
\text { No } & 60 \
\text { No Opinion } & 50
\end{array}$ We are interested in determining whether or not the opinions of the individuals as to Yes, No, and No Opinion) are uniformly distributed.
-Refer to Exhibit 11-1. The calculated value for the test statistic equals
A) 2
B) -2
C) 20
D) 4

Quizplus · Accepted Answer

The test statistic for a chi-square test for uniform distribution 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. With 150 individuals and 3 categories, the expected frequency for each category is 50. Calculating the chi-square statistic gives a value of 4.

Exhibit 11-1 When Individuals in a Sample of 150 Were

Exhibit 11-1
When Individuals in a Sample of 150 Were