In: Math
The table below gives beverage preferences for random samples of teens and adults.
| Beverage | Teens | Adults | Total | 
| Coffee | 50 | 200 | 250 | 
| Tea | 100 | 150 | 250 | 
| Soft Drink | 200 | 200 | 400 | 
| Other | 25 | 75 | 100 | 
| Total | 375 | 625 | 1,000 | 
We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
Refer to Exhibit 11-5. The result of the test is that the
Question 11 options:
| 
 hypothesis of independence can be rejected  | 
|
| 
 hypothesis of independence cannot be rejected  | 
|
| 
 test is inconclusive  | 
|
| 
 None of these alternatives is correct.  | 
The statistical software output for this problem is:
Contingency table results:
| Teens | Adults | Total | |
|---|---|---|---|
| Coffee | 50 | 200 | 250 | 
| Tea | 100 | 150 | 250 | 
| Soft Drink | 200 | 200 | 400 | 
| Other | 25 | 75 | 100 | 
| Total | 375 | 625 | 1000 | 
Chi-Square test:
| Statistic | DF | Value | P-value | 
|---|---|---|---|
| Chi-square | 3 | 66.666667 | <0.0001 | 
Hence,
The result of this test is that hypothesis of independence can be rejected.
Option A is correct.