A random sample of 175 students was selected from a large high school. They were each asked their cu

Margaux Cole

Margaux Cole

Answered question

2022-03-03

A random sample of 175 students was selected from a large high school. They were each asked their current grade level and whether they had a driver's license. The responses are displayed in the table.
Grade LevelDriver's License? 9th  10th  11th  12th Yes 152148 No 28422010 
The principal would like to know if these data provide convincing evidence of a relationship between grade level and having a driver's license in the population of all students in her school. What is the appropriate inference procedure?
1. chi-square test for goodness of fit because the data come from one random sample
2. chi-square test for homogeneity because the data come from independent random samples
3. chi-square test for association/independence because the data come from one random sample
4. chi-square test for association/independence because the data come from independent random samples

Answer & Explanation

mtakadamu9i5

mtakadamu9i5

Beginner2022-03-04Added 8 answers

The table shows the current grade level of students and whether they had a driver's license or not.
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 grade level and driver's license 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 is 3. chi-square test for association/independence because the data come from one random sample.

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