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 |
| 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?
Submission Requirements:
- Submit the assignment in a Microsoft Word or Excel document.
- The answer to each question should be supported with an appropriate rationale or the correct steps.