To calculate the conditional frequency percentages for students who prefer soda or water given they prefer hamburgers or hot dogs, we will find the proportions of soda and water preferences within each type of food preference (hamburgers and hot dogs).
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Hamburgers:
- Total who prefer hamburgers: 72 (from the table)
- Soda with hamburgers: 41
- Water with hamburgers: 31
Percentage for Soda (Hamburgers): \[ \frac{41}{72} \times 100 \approx 57% \]
Percentage for Water (Hamburgers): \[ \frac{31}{72} \times 100 \approx 43% \]
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Hot Dogs:
- Total who prefer hot dogs: 48 (from the table)
- Soda with hot dogs: 20
- Water with hot dogs: 28
Percentage for Soda (Hot Dogs): \[ \frac{20}{48} \times 100 \approx 42% \]
Percentage for Water (Hot Dogs): \[ \frac{28}{48} \times 100 \approx 58% \]
Now we can complete the conditional frequency table:
| | Hamburgers (%) | Hot Dogs (%) | Total (%) | |----------------|-----------------|---------------|-----------| | Soda | 57 | 42 | 100 | | Water | 43 | 58 | 100 |
Thus, the completed conditional frequency table is:
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For Soda:
- Hamburgers: 57%
- Hot Dogs: 42%
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For Water:
- Hamburgers: 43%
- Hot Dogs: 58%
Overall, this shows the distribution of preferences for soda and water among those who prefer either hamburgers or hot dogs.
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