researcher wants to determine whether age is related to whether or not a tax credit would influen

researcher wants to determine whether age is related to whether or not a tax credit would influence an adult to purchase a hybrid vehicle. A random sample of 1250 adults is selected and the results are classified as shown in the table. At a = 0.01, is there enough evidence to conclude that age is related to

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the response?

Response

18 –34

35 –54

55 and older

Total

Yes No

257 218

189 261

143 182

589 661

Total

475

450

325

1250

a. Identify the claim and state H0 and Ha.

b. Use technology to enter the observed and expected frequencies into matrices.

c. Find the critical value x2

0 and identify the rejection region.

d. Use technology to find the chi-square test statistic.

e. Decide whether to reject the null hypothesis. Use a graph if necessary.

f. Interpret the decision in the context of the original claim.