DR. EVANCE - Statistics

MA3110: Module 5 Chi Square and Anova

Exercise 5.2

Chi Square Procedures

1

Read the following information and answer the corresponding questions:

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

MA3110: Module 5 Chi Square and Anova

Exercise 5.2

Chi Square Procedures

2

Region Party Region Party Region Party

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.

Evaluation Criteria:

 Correctly answered each question

 Included appropriate steps or rationale to determine the answer to each question