Suppose an investigator has studied the possible association

alparcero97oy

alparcero97oy

Answered question

2022-03-31

Suppose an investigator has studied the possible association between the use of a weight-loss drug and a rare central nervous system (CNS) disorder. He samples from a group of volunteers with and without the disorder, and records whether they have used the weight-loss drug.
The data are summarized in the attached table:
What is the estimated the odds ratio for the presence of a CNS disorder, comparing people who have used the weight-loss drug to those who have not? What test would you use to evaluate the null hypothesis of no association between weight-loss drug use and presence of a CNS disorder?
Weight-Loss Drug Use CNS disorder  Yes  No  Yes 102000 No 74000 

Answer & Explanation

horieblersee275

horieblersee275

Beginner2022-04-01Added 17 answers

The data shows the use of a weight-loss drug and a rare central nervous system (CNS) disorder.
The odds ratio for the presence of a CNS disorder is,
Odds ratio=adbc
=10×40007×2000
=4000014000
=2.86
Thus, the odds ratio for the presence of a CNS disorder is 2.86.
Chi-square test: The chi-square is a non-parametric test which is used for comparing two categorical variables. The chi-square test helps in determining the association between categorical variables. It is used for determining whether the variables are associated or not.
The variables weight-loss drug and CNS disorder are categorical. The chi-square test can be used for determining association between these two variables using the expected frequencies.
Thus, the test that would evaluate the null hypothesis of no association between weight-loss drug use and presence of a CNS disorder is chi-square test.

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