Find the conditional distributions of birth region

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Reference no: EM131060868

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.

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The assignment contains questions based on conditional probabilities. It contains bibariate frequency table creation. Moreover, chi square test is used to test the hypothesis. It is done in Microsaft word with 12 font size and Times New Riman font.

Reference no: EM131060868

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