In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen is now thinking that the meal consumption may more closely resemble a uniform distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | }
\hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \
\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \
\hline
\end{array}$$ Using $\alpha$=0.05, the appropriate decision for this goodness of fit test is _______.

Question

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen is now thinking that the meal consumption may more closely resemble a uniform distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | } 
\hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \
\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \
\hline
\end{array}$$ Using $\alpha$=0.05, the appropriate decision for this goodness of fit test is _______.

Quizplus · Accepted Answer

Given the observed frequencies for each meal category, if the meal consumption were to follow a uniform distribution, we would expect the frequencies to be relatively similar across all categories, including the "≥4" category. However, the observed frequencies vary significantly, indicating that the distribution of meal consumption is not uniform. Therefore, we reject the null hypothesis that the observed distribution is uniform.

In a College Dining Hall, Students with a Full Meal