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.