According to data obtained from the General Social Survey (GSS) in 2014, 1644 out of 2532 respondents were female and interviewed in person, 551 were male and interviewed in person, 320 were female and interviewed over the phone and 17 were male and interviewed over the phone.

a. Explain how we could regard either variable (gender of respondent, interview type) as a response variable.

b. Display the data as a contingency table, labeling the variables and the categories.

c. Find the conditional proportions that treat interview type as the response variable and gender as the explanatory variable. Interpret.

d. Find the conditional proportions that treat gender as the response variable and interview type as the explanatory variable. Interpret.

e. Find the marginal proportion of respondents who (i) are female and (ii) were interviewed in person.