Two-Way Tables Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items

Question
Use the table to answer the question.

The number of survey respondents who said they prefer football or baseball in the summer and winter is shown in the table.
Baseball Football Totals
Summer 45 15 60
Winter 20 45
Totals 65 40 105
The table indicates preferences in sports and seasons. How would you construct the rest of the two-way table to determine the number of survey participants who prefer winter and football?

(1 point)
The number of survey respondents who said they prefer football or baseball in the summer and winter is shown in the table.
Baseball Football Totals
Summer 45 15 60
Winter 20
45
Totals 65 40 105
Remaining Attempts : 3

Answer 1

To complete the two-way table, you'll need to fill in the missing value for the number of respondents who prefer football in the winter.

You already have the following information:

• Total respondents who prefer baseball in the winter: 20
• Total respondents who prefer baseball in summer: 45
• Total respondents who prefer football in summer: 15
• Total respondents who prefer football in winter: (unknown, let's call it \( x \))
• Overall total respondents for those who prefer baseball: 65
• Overall total respondents for those who prefer football: 40
• Overall total respondents surveyed: 105

From the table:

1. The total for winter (baseball + football) is 45.
2. We can set up the equation for the winter total: \[ 20 + x = 45 \] Solving for \( x \): \[ x = 45 - 20 = 25 \]

From the calculations, the number of survey respondents who said they prefer football in the winter is 25.

Now you can fill in the completed two-way table as follows:

        Baseball  Football  Totals
Summer      45        15      60
Winter      20        25      45
Totals      65        40     105

So, to summarize, the number of survey respondents who said they prefer winter and football is 25.