Perform a chi-square independence test using the P-value approach, provided the conditions for using the test are met.Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to compute the value of thetest statistic, to obtain the P-value, and to state your conclusion.
-A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data. At the 5% significance level, do the data provide sufficient evidence to conclude that an association exists between age and frequency of car accidents?

Question

Perform a chi-square independence test using the P-value approach, provided the conditions for using the test are met.Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to compute the value of thetest statistic, to obtain the P-value, and to state your conclusion.
-A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.  At the 5% significance level, do the data provide sufficient evidence to conclude that an association exists between age and frequency of car accidents?

Quizplus · Accepted Answer

The Answer is

\mathrm { H } _ { 0 }

: An association does not exist between frequency of car accidents and age

\mathrm { H } _ { \mathrm { a } }

: An association exists between frequency of car accidents and age

\alpha = 0.05

Test statistic:

\chi ^ { 2 } = 9.273

.

0.05 < \mathrm { P }

-value

< 0.1

. Do not reject

\mathrm { H } _ { 0 }

. At the

5 \%

significance level, the data do not provide sufficient evidence to conclude that an association exists between age and frequency of car accidents.

Perform a Chi-Square Independence Test Using the P-Value Approach, Provided