A Spinner Is Mounted on a Piece of Cardboard Divided $\frac { 1 } { 6 }$

Multiple Choice

A spinner is mounted on a piece of cardboard divided into six areas of equal size. Each of the six areas is a different color (blue, yellow, red, green, white and orange) . When the spinner is spun, each color should be selected by the spinner approximately $\frac { 1 } { 6 }$ of the time. A student suspects that a certain spinner is defective. The suspected spinner is spun 90 times. The results are shown below. Calculate the chi-square test statistic $\chi ^ { 2 }$ to test the student's claim. Use $\alpha = 0.10$ .
$\begin{array}{l|cccccc}\text { Color } & \text { Blue Yellow } & \text { Red Green } & \text { White Orange } \\\hline \text { Frequency } & 17 & 11 & 12 & 19 & 15 & 16\end{array}$

A) $3.067$
B) $2.143$
C) $5.013$
D) $4.312$