STATS - The following table contains data of region of birth and political party

The following table contains data of region of birth and political party of the first 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
NE W SO D NE R
NE D MW R WE D
NE D NE R

What is the population under consideration?

What are the two variables under consideration?

Group the bivariate data for the variables “birth region” and “party” into a contingency table.

Find the conditional distributions of birth region by party and the marginal distribution of birth
region.

Find the conditional distributions of party by birth region and the marginal distribution of the party.

Does an association exist between the variables “birth region” and “party” for the U.S. presidents?
Explain your answer.

What percentage of presidents are republicans?

If no association existed between birth region and party, what percentage of presidents born in the
south would be Republicans?

In reality, what percentage of presidents born in the south are Republicans?