Students in a class were asked whether they preferred an in-class or a take-home final exam and were then categorized as to whether or not they had received an A on the in class midterm. Of the 25 A students, 10 preferred a take home exam, while of the 50 non-A students, 30 preferred a take-home exam.
a. Display the data in a contingency table.
b. In the relationship between grade on the midterm and opinion about type of final, which variable is the response variable and which is the explanatory variable?
c. Determine an appropriate set of conditional percentages for determining whether there is a relationship between grade on the midterm and opinion about the type of final. Based on these percentages, does it appear that there is a relationship? Why or why not?