The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between car colour and the likelihood of being in an accident. $232230\begin{array} { c | l l l } & \text { Red } & \text { Blue } & \text { White } \\\hline \text { Car has been in } & & & \\\text { accident } & 28 & 33 & 36 \\\begin{array} { c } \text { Car has not been } \\\text { in accident }\end{array} & 23 & 22 & 30\end{array}$

A) H0: Accidents and car colour are not related. HA: Accidents and car colour are not dependent.
B) H0: Accidents and car colour are independent. HA: Accidents and car colour are not independent.
C) H0: Accidents and car colour are related. HA: Accidents and car colour are not related.
D) H0: Accidents and car colour are independent. HA: Accidents and car colour are not related.
E) H0: Accidents are uniformly distributed over the car colours. HA: Accidents are not uniformly distributed over the car colours.

Question

The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between car colour and the likelihood of being in an accident.

232230\begin{array} { c | l l l } & \text { Red } & \text { Blue } & \text { White } \\\hline \text { Car has been in } & & & \\\text { accident } & 28 & 33 & 36 \\\begin{array} { c } \text { Car has not been } \\\text { in accident }\end{array} & 23 & 22 & 30\end{array}

A) H0: Accidents and car colour are not related. HA: Accidents and car colour are not dependent.
B) H0: Accidents and car colour are independent. HA: Accidents and car colour are not independent.
C) H0: Accidents and car colour are related. HA: Accidents and car colour are not related.
D) H0: Accidents and car colour are independent. HA: Accidents and car colour are not related.
E) H0: Accidents are uniformly distributed over the car colours. HA: Accidents are not uniformly distributed over the car colours.

Austin Luther · Accepted Answer

Final Answer : B, Explanation :  The correct hypothesis pair for testing an association between two categorical variables, like car color and accident occurrence, is that they are independent (H0) versus they are not independent (HA).

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