In a College Dining Hall, Students with a Full Meal

Multiple Choice

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen would like to know the distribution of meal consumption by students and think it would follow a Poisson 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 _______.

A) do not reject the null hypothesis that the observed distribution is Poisson
B) reject the null hypothesis that the observed distribution is not the Poisson
C) do nothing
D) do not reject the null hypothesis that the observed distribution is not Poisson
E) reject the null hypothesis that the observed distribution is Poisson