9.7 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 α e. Are the three contrasts mutually orthogonal? .05 test. Refer to Example 8.6 Data set Region SMSA NE SE .81 78 10 .12 .13 .60 56 56 Mean Standard Deviation 343 .0273 0274 .0179

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.