Refer to Example 8.6. The political action group was interested in determining regional differences in the public’s opinion concerning air pollution. Write a contrast in the four population means to answer each of the following questions.
a. Question 1: Is the proportion of people who thought the EPA’s standards are not stringent enough different for the people living in the East compared to the people living in the West?
b. Question 2: Is the proportion of people who thought the EPA’s standards are not stringent enough different for the people living in the Northeast compared to the people living in the other three regions?
c. Question 3: Is the proportion of people who thought the EPA’s standards are not stringent enough different for the people living in the Northeast compared to the people living in the Southeast?
d. Simultaneously test if the three contrasts are different from 0 using an a = .05 test.
e. Are the three contrasts mutually orthogonal?