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...


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


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.




May 26, 2022
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