A large group of workers is divided into three departments: those who work in special operations, th

Taylor Haines

Taylor Haines

Answered question

2022-03-03

A large group of workers is divided into three departments: those who work in special operations, those who work on the main floor, and those who work in management. Strep throat has been going around and a health inspector would like to know if there is a relationship between department and having strep throat. She selects a random sample of 100 workers and classifies each one according to their department and whether they have strep throat. The data are displayed in the table.
The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. What is the appropriate inference procedure?
a. chi-square test for goodness of fit because the data come from one random sample
b. chi-square test for homogeneity because the data come from independent random samples
c. chi-square test for association/independence because the data come from one random sample
d. chi-square test for association/independence because the data come from independent random samplesDepartmentStrep? Special Operations  Main Floor  Management  Strep 6135 No Strep 40306 

Answer & Explanation

ozebnikvpi

ozebnikvpi

Beginner2022-03-04Added 5 answers

The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company.
Chi-square independence test: The chi-square is a non-parametric test which is used for comparing two categorical variables. The chi-square independence test helps in determining the relationship between categorical variables. It is used for determining whether the variables are related or not.
The variables strep and department are categorical. The chi-square independence test can be used for determining relation between these two variables using the expected frequencies.
Thus, the appropriate inference procedure c. chi-square test for association/independence because the data come from one random sample.

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