In which of the following situations should the chi-square Test for Homogeneity be used?

Select the correct answer below:

A. A professor wants to determine if the students in each of her two sections had the same distribution of grades. She records the grade distribution for each section and compares the two distributions.

B. A survey company puts out a survey asking people two questions. First, it asks if a person owns a car or not. Second, it asks whether or not the person supports an upcoming environmental protection bill. The data are recorded in a contingency table. The company wants to determine if support for the bill is independent of car ownership.

C. A professor expects that the grades on a recent exam are normally distributed with a mean of 80 and a standard deviation of 10. She records the actual distribution of grades and wants to compare it to the normal distribution.



Answer :

Final answer:

The chi-square Test for Homogeneity is used to compare distributions of two populations.


Explanation:

The correct situation to use the chi-square Test for Homogeneity is:

  1. A professor wants to determine if the students in each of her two sections had the same distribution of grades. She records the grade distribution for each section and compares the two distributions.

In this scenario, the chi-square Test for Homogeneity would be applicable as it aims to assess whether two data sets are derived from the same distribution without needing to know the actual distribution.


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