Use the table to answer the question.

Question

Hamburgers Hot Dogs Total
Soda 41 20 61
Water 31 28 59
Total 72 48 120
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
Remaining Attempts : 3
Skip to navigation

Answer 1

To create the conditional frequency table for students who prefer soda or water given they prefer hamburgers or hot dogs, we need to find the percentages of soda and water preferences among those who prefer hamburgers and hot dogs.

1. Calculate the percentages for each drink based on hamburgers and hot dogs.

For Hamburgers:

• Soda:

  • Number of students who prefer hamburgers and soda = 41
  • Total number of students who prefer hamburgers = 72
  • Percentage = (41 / 72) * 100 = 56.94% ≈ 57%

• Water:

  • Number of students who prefer hamburgers and water = 31
  • Total number of students who prefer hamburgers = 72
  • Percentage = (31 / 72) * 100 = 43.06% ≈ 43%

For Hot Dogs:

• Soda:

  • Number of students who prefer hot dogs and soda = 20
  • Total number of students who prefer hot dogs = 48
  • Percentage = (20 / 48) * 100 = 41.67% ≈ 42%

• Water:

  • Number of students who prefer hot dogs and water = 28
  • Total number of students who prefer hot dogs = 48
  • Percentage = (28 / 48) * 100 = 58.33% ≈ 58%

2. Construct the conditional frequency table:

                Hamburgers (%)     Hot Dogs (%)     Total (%)
Soda                  57                 42                 100
Water                 43                 58                 100

So the final conditional frequency table looks like this:

                Hamburgers (%)     Hot Dogs (%)     Total (%)
Soda                  57                 42                 100
Water                 43                 58                 100

You can now fill in the percentages on your table accordingly.