Final answer:
The Chi-square test of independence is the correct statistical test to determine if there is an association between race and education category, using a contingency table to compare observed with expected frequencies.
Step-by-step explanation:
To determine if there is an association between race and education category, the appropriate statistical test to use is the Chi-square test of independence. This test assesses whether two categorical variables, such as race and education level, are independent of each other. For this test, a contingency table is used, and expected values for each cell must be at least five to apply the test properly. The null hypothesis in this case would state that there is no association between the two variables - race and education category.
Other options, like the T-test, ANOVA, and Regression analysis, are not suitable for this scenario. The T-test and ANOVA are used for comparing means across groups, while regression analysis typically deals with the relationship between a dependent and one or more independent variables, rather than the association between two categorical variables, which a Chi-square test evaluates.