Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-At the 0.01 significance level, do the data provide sufficient evidence to conclude that an association exists between car color and the likelihood of being in an accident? $$\begin{array} { r | r r c } & \text { Red } & \text { Blue } & \text { White } \ \hline \text { Car has been in accident } & 28 & 33 & 36 \ \text { Car has not been in accident } & 23 & 22 & 30 \end{array}$$

Question

Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-At the 0.01 significance level, do the data provide sufficient evidence to conclude that an association exists between car color and the likelihood of being in an accident? $$\begin{array} { r | r r c }  & \text { Red } & \text { Blue } & \text { White } \ \hline \text { Car has been in accident } & 28 & 33 & 36 \ \text { Car has not been in accident } & 23 & 22 & 30 \end{array}$$

Quizplus · Accepted Answer

The Answer is

\mathrm { H } _ { 0 }

: An association does not exist between car color and being in an accident Ha: An association exists between car color and being in an accident

\alpha = 0.01

Test statistic:

\chi ^ { 2 } = 0.4287

. Critical value:

\chi ^ { 2 } = 9.210

. Fail to reject the null hypothesis.At the

0.01

significance level, the data do not provide sufficient evidence to conclude that an association exists between car color and being in an accident.

Perform a Chi-Square Independence Test Using the Critical Value Approach