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

question 31

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) \(4.312\)

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