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

question 37

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. Find the critical value $\chi _ { 0 } ^ { 2 }$ to test the student's claim. Use $\alpha = 0.10$ .
$\begin{array}{l|cccccc}\text { Color } & \text { Blue Yellow } & \text { Red Green } & \text { White Orange } \\\hline \text { Frequency } & 12 & 19 & 16 & 11 & 17 & 15\end{array}$

• A) \(9.236\)
• B) \(1.610\)
• C) \(10.645\)
• D) \(11.071\)

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