Question

Two-Way Tables• Create a two-way frequency table• Draw at least 2 conclusions / inferences from the data shown

Answer 1

Step 1

Create a two-way frequency table.

For example, the following two-way table shows the results of a survey that asked 100 people which sport they liked best: baseball, basketball, or football. The rows display the gender of the respondent and the columns show which sport they chose

Below is the two-way frequency table.

This is a two-way table because we have two categorical variables: gender and favorite sport.

Step 2

Draw at least 2 conclusions/inferences from the data shown.

1) The probability that a survey respondent likes basketball the most, given that the respondent is male is?

$=\frac{Males\text{ that like basketball}}{Total\text{ number of male}}=\frac{15}{48}=0.3125$

2) The probability that a survey respondent likes baseball the most, given that the respondent is female is?

$=\frac{females\text{ that like baseball}}{Total\text{ number of female}}=\frac{23}{52}=0.4423076923$