Use the table to answer the question.

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 of students who prefer hot dogs given that they prefer soda, we need to use the data from the two-way table.

1. Identify the number of students who prefer soda and hot dogs:

   • From the table, the number of students who prefer soda and hot dogs is 20.

2. Identify the total number of students who prefer soda:

   • From the table, the total number of students who prefer soda is 61.

3. Calculate the conditional relative frequency: \[ \text{Conditional Relative Frequency} = \frac{\text{Number of students who prefer hot dogs and soda}}{\text{Total number of students who prefer soda}} = \frac{20}{61} \]

4. Convert this fraction to a percentage: \[ \frac{20}{61} \approx 0.32787 \] Converting to a percentage: \[ 0.32787 \times 100 \approx 32.787% \]

5. Round to the nearest whole percentage:

   • Rounding 32.787% gives us 33%.

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