A Biology Professor Claims That, on the Average, 15% of Her

Multiple Choice

A biology professor claims that, on the average, 15% of her students get a grade of A,30% get a B, 40% get a C, 10% get a D, and 5% get an F. The grades of a random sampleof 118 students were recorded. The following table presents the results. $\begin{array}{c|lllll}\text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 3 & 35 & 56 & 13 & 11\end{array}$
What is the value of $\chi ^ { 2 }$ ?

A) $9.488$
B) $11.143$
C) $18.384$
D) $19.579$