The contingency table shown relates happiness and gender for the 2018 GSS. (You can enter the counts from the table in the second tab of the Explore Categorical Variables app to answer most of the following questions.)

a. Identify the response variable and the explanatory variable.

b. Construct a table or graph showing the conditional distributions. Interpret.

c. Give an example of what the population conditional distributions would look like if gender and happiness were independent. For the example, try to choose conditional percentages that are consistent with the results of the 2018 GSS.

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Happiness Gender Not Too Happy Pretty Happy Very Happy Total Female 180 724 390 1,294 Male 156 583 311 1,050