At a recent automobile show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred. Based on the analysis above, what can be concluded?
A) Buyer's age and car model preference are not related.
B) Buyer's age and car model preference are related.
C) The mean of age is the same as the mean of car model preference.
D) No conclusion can be made.

Question

At a recent automobile show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred.  Based on the analysis above, what can be concluded?
A) Buyer's age and car model preference are not related. 
B) Buyer's age and car model preference are related. 
C) The mean of age is the same as the mean of car model preference. 
D) No conclusion can be made.

Quizplus · Accepted Answer

The question is asking whether there is a relationship between age and model preferred. To answer this, we would conduct a chi-square test of independence. The test results would give us a p-value, which we would compare to the significance level of 0.05. If the p-value is less than 0.05, we would reject the null hypothesis that age and model preferred are independent (meaning there is a relationship), and if the p-value is greater than 0.05, we would fail to reject the null hypothesis (meaning there is no relationship). Without the test results, we cannot determine the relationship between age and model preferred, so the answer is not A or C. We can make a conclusion, however, based on the test results, so D is not correct. Therefore, the answer is B.

At a Recent Automobile Show, a Sample of 125 People