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 number of degrees of freedom for a goodness-of-fit test (for a uniform distribution), assuming a 0.05 significance level.
A) 2
B) 3
C) 4
D) 5

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 number of degrees of freedom for a goodness-of-fit test (for a uniform distribution), assuming a 0.05 significance level.
A) 2
B) 3
C) 4
D) 5

Quizplus · Accepted Answer

The degrees of freedom for a goodness-of-fit test are calculated as the number of categories minus one. Here, there are 5 days of the week (categories), so the degrees of freedom are 5 - 1 = 4.

The Following Table Represents the Number of Absences on Various