The following table represents the number of absences on various days of the week at an elementary school. $\begin{array}{c|c|c|c|c}
\text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } \
\hline 45 & 32 & 17 & 25 & 38
\end{array}$

Identify the critical value for a goodness-of-fit test, assuming a $0.05$ significance level.
A) $\chi ^ { 2 } = 5.991$
B) $\chi ^ { 2 } = 7.815$
C) $\chi ^ { 2 } = 9.488$
D) $\chi ^ { 2 } = 11.071$

Question

The following table represents the number of absences on various days of the week at an elementary school. $\begin{array}{c|c|c|c|c}
\text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } \
\hline 45 & 32 & 17 & 25 & 38
\end{array}$

Identify the critical value for a goodness-of-fit test, assuming a $0.05$ significance level.
A) $\chi ^ { 2 } = 5.991$
B) $\chi ^ { 2 } = 7.815$
C) $\chi ^ { 2 } = 9.488$
D) $\chi ^ { 2 } = 11.071$

Quizplus · Accepted Answer

The degrees of freedom for the test is 4 (number of categories - 1). At a 0.05 significance level, the critical value for $\chi^2$ with 4 degrees of freedom is 9.488.

The Following Table Represents the Number of Absences on Various