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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

1 answer

To complete the two-way table and determine the number of survey participants who prefer winter and football, we can use the totals provided.

We have the following information:

  • Total for Winter: 45 (from the existing table).
  • Number of respondents who prefer Baseball in Winter: 20 (already given in the table).
  • Total number of respondents who prefer Football in Winter: To find this, we can subtract the number of Winter Baseball respondents from the total number of respondents for Winter.

Using the formula: \[ \text{Total for Winter} = \text{Baseball in Winter} + \text{Football in Winter} \] We can rearrange the equation to find: \[ \text{Football in Winter} = \text{Total for Winter} - \text{Baseball in Winter} \] Substituting the known values: \[ \text{Football in Winter} = 45 - 20 = 25 \]

Now we can fill this information into the table:

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

So, the answer is that 25 respondents prefer Football in Winter.