Reconsider the previous three exercises, but now ignore the real data. Invent your own fictional data that show no association between party and sex of senator. Provide the 2 × 2 table, calculate conditional proportions, and produce a segmented bar graph. Also explain how you invented the data to make sure that there would be no association between the variables.

Data from previous question

The 2014 U.S. Senate consists of 80 men and 20 women. The 2014 U.S. Senate consists of 45 Republicans and 55 Democrats (counting 2 Independents as Democrats because they vote with Democrats more than with Republicans). What additional information do you need in order to produce a 2 × 2 table and investigate whether there is an association between sex and party?