Exhibit 12-5
The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
-Refer to Exhibit 12-5. The result of the test is that the
A)hypothesis of independence can be rejected
B)hypothesis of independence cannot be rejected
C)test is inconclusive
D)None of these alternatives is correct.

Question

Exhibit 12-5
The table below gives beverage preferences for random samples of teens and adults.  We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
-Refer to Exhibit 12-5. The result of the test is that the
A)hypothesis of independence can be rejected 
B)hypothesis of independence cannot be rejected 
C)test is inconclusive 
D)None of these alternatives is correct.

Quizplus · Accepted Answer

Based on the given information, we can use a chi-square test for independence to test whether age and drink preferences are related. The calculated chi-square value is 12.79, with a p-value of 0.012. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis of independence and conclude that there is evidence to suggest that age and drink preferences are related. Therefore, the best choice is A, which states that the hypothesis of independence can be rejected.

Exhibit 12-5 the Table Below Gives Beverage Preferences for Random Samples of Samples