Question

1. A college is putting together a brochure of statistics, and they want to know if male and female graduates have similar starting salaries. They survey a random sample of recent graduates and record the distributions of salaries for each gender. Now, they want to compare the distributions.

Which of the following χ2 tests should be used in the situation above?

Select the correct answer below:

A) Test of Independence

B) Goodness-of-Fit Test

C) Test for Homogeneity

Answer 1

C) test for homogeneity

Because here we want to test if the two populations ( men & women) are similar on the basis of their starting salary or not.

The test for goodness of fit determines if the sample under analysis was drawn from a population that follows some specified distribution.

The test for homogeneity answers the proposition that several populations are homogeneous with respect to some characteristic.

The test for independence (one of the most frequent uses of Chi Square) is used for testing the null hypothesis that two criteria of classification, when applied to a population of subjects are independent. If they are not independent then there is an association between them.