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) $11.071$

Question

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) $11.071$

Quizplus · Accepted Answer

The critical value $\chi _ { 0 } ^ { 2 }$ for a chi-square test with 5 degrees of freedom and $\alpha = 0.10$ is 9.236.

A Spinner Is Mounted on a Piece of Cardboard Divided 16\frac { 1 } { 6 }61​

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