To find the conditional relative frequency that students who prefer soda also like hot dogs, we focus on the students who prefer soda and how many of them like hot dogs.
From the table, we see:
- Total students who prefer soda: 61 (41 hamburgers + 20 hot dogs)
- Students who prefer soda and like hot dogs: 20
The conditional relative frequency is calculated by dividing the number of students who prefer both soda and hot dogs by the total number of students who prefer soda.
\[ \text{Conditional relative frequency} = \frac{\text{Number of soda drinkers who like hot dogs}}{\text{Total number of soda drinkers}} = \frac{20}{61} \]
Next, we perform the calculation:
\[ \frac{20}{61} \approx 0.3279 \]
To convert this into a percentage, we multiply by 100:
\[ 0.3279 \times 100 \approx 32.79% \]
Finally, rounding this to the nearest whole percentage gives us:
\[ 33% \]
Thus, the conditional relative frequency that students who prefer soda also like hot dogs is 33%.