Find the value of the $\chi ^ { 2 }$ test statistic for a hypothesis test of independence. Round your answer to 3 decimal places.
-Responses to a survey question are broken down according to employment status and the sample results are
Given below. $$\begin{array} { l | r c c }
& \text { Yes } & \text { No } & \text { Undecided } \
\hline \text { Employed } & 30 & 15 & 5 \
\text { Unemployed } & 20 & 25 & 10
\end{array}$$
A)5.991
B)5.492
C)0.051
D)5.942

Question

Find the value of the $\chi ^ { 2 }$ test statistic for a hypothesis test of independence. Round your answer to 3 decimal places.
-Responses to a survey question are broken down according to employment status and the sample results are
Given below. $$\begin{array} { l | r c c } 
& \text { Yes } & \text { No } & \text { Undecided } \
\hline \text { Employed } & 30 & 15 & 5 \
\text { Unemployed } & 20 & 25 & 10
\end{array}$$
A)5.991
B)5.492
C)0.051
D)5.942

Quizplus · Accepted Answer

The $\chi^2$ test statistic is calculated using the formula $\chi^2 = \sum \frac{(O - E)^2}{E}$, where $O$ is the observed frequency and $E$ is the expected frequency. After calculating the expected frequencies and applying the formula, the test statistic is approximately 5.942.

Find the Value of The χ2\chi ^ { 2 }χ2 Test Statistic for a Hypothesis Test of Independence

Find the Value of The $\chi ^ { 2 }$ Test Statistic for a Hypothesis Test of Independence