Question

Hamburgers Hot Dogs Total
Soda 41 20 61
Water 31 28 59
Total 72 48 120
Interpret the two-way table for students’ drink and food preferences. Given the students that prefer soda, what is the conditional relative frequency that they like hot dogs? Round your answer to the nearest whole percentage.

(1 point)
%

Answer 1

To find the conditional relative frequency that students who prefer soda like hot dogs, we first need the number of students who prefer soda and like hot dogs.

From the table:

- The number of students who prefer soda and like hot dogs = 20
- The total number of students who prefer soda = 61

The conditional relative frequency can be calculated using the formula:

\[
\text{Conditional Relative Frequency} = \frac{\text{Number of students who prefer soda and like hot dogs}}{\text{Total number of students who prefer soda}} \times 100
\]

Substituting in the numbers:

\[
\text{Conditional Relative Frequency} = \frac{20}{61} \times 100 \approx 32.79
\]

Rounding to the nearest whole percentage, we get:

\[
\text{Conditional Relative Frequency} \approx 33\%
\]

Thus, the conditional relative frequency that students who prefer soda like hot dogs is **33%**.