Question

Hamburgers

Hot Dogs

Soda

41

20

Total

61

Water

31

28

59

Total

72

120

48

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 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
1. **Soda under Hamburgers:**
\[
\text{Percentage} = \left( \frac{41}{72} \right) \times 100 \approx 57
\]

2. **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.