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. $$\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array}$$ The observed value of chi-square for this goodness-of-fit test is closest to _______.

A) 1.54
B) 4.88
C) 4.97
D) 8.49
E) 11.27