To find the conditional relative frequency of students who prefer hot dogs given that they prefer soda, we need to calculate the proportion of soda drinkers who also like hot dogs.
From the table:
- Total students who prefer soda = 61
- Students who prefer soda and hot dogs = 20
The conditional relative frequency can be calculated using the formula:
\[ \text{Conditional Relative Frequency} = \frac{\text{Number of soda drinkers who like hot dogs}}{\text{Total number of soda drinkers}} \]
Substituting in the numbers:
\[ \text{Conditional Relative Frequency} = \frac{20}{61} \]
Now, we will compute this fraction and convert it to a percentage:
\[ \frac{20}{61} \approx 0.3279 \]
To convert this to a percentage, we multiply by 100:
\[ 0.3279 \times 100 \approx 32.79% \]
Rounding to the nearest whole percentage, the conditional relative frequency that students who prefer soda also like hot dogs is 33%.
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