Your state is going to vote on becoming a "right to work" state in the next, and you wonder if there

Jerimiah Hansen

Jerimiah Hansen

Answered question

2022-03-06

Your state is going to vote on becoming a "right to work" state in the next, and you wonder if there is there a relationship between salary levels and unionization. You find data on salary from the U.S. Census, which is split into three groups: Low; Moderate/About Average, and; High. To see if salary, measured in this way, is associated with unionization you find a variable in the same dataset called "UNION", which has two categories: the respondent has a unionized job and the respondent does not have a unionized job. Because you want to know if you should favor or oppose becoming a "right to work" state, you test these two variables to see if there is an association between salary level and unionized labor.
What type of hypothesis test is most appropriate?

Answer & Explanation

atwistygm7

atwistygm7

Beginner2022-03-07Added 1 answers

The two variables are salary level and unionization.
Each of the two variables are further subdivided into different categories.
The variable salary level has 3 categories namely Low, Moderate/About Average and High.
The variable Unionization has 2 categories namely: has unionized job and does not have a unionized job.
The analysis is to test there is an association between salary level and unionized labor exists or not.
The most appropriate type of test for testing the association between two variables is Chi-square test for association.
Chi-square test for association is used to test whether there is association between two categorical variables exists or not.
Here, both variables salary level and unionization are categorical.
So, in hypothesis testing, Chi-square test for independence is the most appropriate test for testing the association between the variables.

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