To create the conditional frequency table, we need to calculate the percentage of students who prefer soda or water among those who prefer hamburgers or hot dogs.
From the data given, we have:
Initial Data
- Total students preferring hamburgers: 41 (Soda) + 31 (Water) = 72
- Total students preferring hot dogs: 20 (Soda) + 28 (Water) = 48
Conditional Calculations
-
Soda under Hamburgers: \[ \text{Percentage} = \left( \frac{41}{72} \right) \times 100 \approx 57 \]
-
Soda under Hot Dogs: \[ \text{Percentage} = \left( \frac{20}{48} \right) \times 100 \approx 42 \]
Conditional Frequency Table
Now we can fill in the table with the calculated percentages:
| | Hamburgers (%) | Hot Dogs (%) | Total (%) | |-----------------------|-------------------|------------------|---------------| | Soda | 57 | 42 | 100 | | Water | 53 | 47 | 100 |
Thus, the completed table with the percentages filled in is:
| | Hamburgers (%) | Hot Dogs (%) | Total (%) | |-----------------------|-------------------|------------------|---------------| | Soda | 57 | 42 | 100 | | Water | 53 | 47 | 100 |
So the percentages for soda are approximately 57% for hamburgers and 42% for hot dogs.