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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Definitions:

Fungi

A kingdom of complex organisms that get their food by decomposing matter, including mushrooms, molds, and yeast.

Types Of Fungi

Categories of fungi, including but not limited to, molds, yeasts, and mushrooms, which differ in structure, lifecycle, and habitat.

Mushroom

A type of fungus with a distinctive fruiting body that can be either edible or poisonous, often growing in damp conditions.

Ringworm

Condition of the skin caused by a fungal infection.