Question

researchers question whether there is a relationship between employment status (employed full - time, employed part - time, unemployed) and highest level of education attained (some high school, graduated high school, some college, graduated college).
which of the following is the most appropriate statistical test to use to determine if employment status is related to education level?
a. two - sample t - test
b. chi - squared test for independence
c. matched pairs t - test
d. inference for regression
e. anova

Explanation:

The chi - squared test for independence is used to determine if there is a significant association between two categorical variables. Here, employment status (categorical: employed full - time, employed part - time, unemployed) and education level (categorical: some high school, graduated high school, some college, graduated college) are both categorical variables.
A two - sample t - test is used to compare means of two independent groups. A matched pairs t - test is for paired data. Inference for regression is for a linear relationship between a response and an explanatory variable (usually one is quantitative). ANOVA is for comparing means of three or more groups.

Answer:

B. Chi - squared test for independence