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?
[tex]=\frac{Males\text{ that like basketball}}{Total\text{ number of male}}=\frac{15}{48}=0.3125[/tex]2) The probability that a survey respondent likes baseball the most, given that the respondent is female is?
[tex]=\frac{females\text{ that like baseball}}{Total\text{ number of female}}=\frac{23}{52}=0.4423076923[/tex]
