What are the two variables under consideration what is the


Read the following information and answer the corresponding questions:

The following table contains data of region of birth and political party of the ?rst 44 U.S. presidents. The table uses these abbreviations: F = Federalist, DR = Democratic-Republican, D = Democratic, W = Whig, R = Republican, U = Union, NE = Northeast, MW = Midwest, SO = South, WE = West

Region       Party Region       Party Region    Party
SO            F SO                  R MW              R
NE            F SO                  U NE                D
SO            DR MW              R MW               D
SO            DR MW              R SO                R
SO            DR MW              R NE                D
NE            DR NE                R SO               D
SO            D NE                  D WE              R
NE            D MW                 R MW              R
SO            W NE                 D SO               D
SO            W MW                R MW              R
SO            D NE                  R NE                R
SO            W MW                R SO               D

Module Chi Square and Anova

Exercise 5.2

Chi Square Procedures

Region  Party Region   Party Region   Party
NE             W SO            D NE           R
NE             D MW            R WE          D
NE             D NE              R

Find the conditional distributions of birth region by party and the marginal distribution of birth Group the bivariate data for the variables "birth region" and "party" into a contingency table.

• What are the two variables under consideration?
• What is the population under consideration?
• Does an association exist between the variables "birth region" and "party" for the U.S. presidents?
• Find the conditional distributions of party by birth region and the marginal distribution of the party region.
• If no association existed between birth region and party, what percentage of presidents born in the What percentage of presidents are republicans? Explain your answer.
• In reality, what percentage of presidents born in the south are Republicans? south would be Republicans?

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