Question

Hamburgers Hot Dogs Total
Soda 41 20 61
Water 31 28 59
Total 72 48 120
Use the two-way frequency table to complete the conditional frequency table for students who prefer soda or water given they prefer hamburgers or hot dogs. Round each percentage to the nearest whole number.

(1 point)
Hamburgers (%) Hot Dogs(%) Total(%)
Soda % % 100
Water 53 47 100

Answer 1

To complete the conditional frequency table for students who prefer soda or water given they prefer hamburgers or hot dogs, we will first calculate the percentage of those who prefer soda and water within each category (hamburgers and hot dogs).

### Given Data:
- Happy to present the two-way frequency table:

| | Hamburgers | Hot Dogs | Total |
|--------------|------------|----------|-------|
| Soda | 41 | 20 | 61 |
| Water | 31 | 28 | 59 |
| **Total** | 72 | 48 | 120 |

### Calculate the Conditional Frequencies:

1. **For Soda:**
- **Hamburgers**:
\[
\text{Percentage} = \left( \frac{41}{72} \right) \times 100 \approx 56.94 \approx 57\%
\]
- **Hot Dogs**:
\[
\text{Percentage} = \left( \frac{20}{48} \right) \times 100 \approx 41.67 \approx 42\%
\]

2. **For Water:**
- **Hamburgers**:
\[
\text{Percentage} = \left( \frac{31}{72} \right) \times 100 \approx 43.06 \approx 43\%
\]
- **Hot Dogs**:
\[
\text{Percentage} = \left( \frac{28}{48} \right) \times 100 \approx 58.33 \approx 58\%
\]

### Summary of the Conditional Frequency Table:

| | Hamburgers (%) | Hot Dogs (%) | Total (%) |
|--------------|----------------|--------------|-----------|
| Soda | 57 | 42 | 100 |
| Water | 43 | 58 | 100 |

So the completed conditional frequency table is:

#### Final Conditional Frequency Table:

| | Hamburgers (%) | Hot Dogs (%) | Total (%) |
|--------------|----------------|--------------|-----------|
| Soda | 57 | 42 | 100 |
| Water | 43 | 58 | 100 |