Which multivariate analysis to apply on categorical data?

In the image below I have a table with several categorical variables. I must perform a multivariate analysis that can inform the relationship of the variables (Ethnicity, Family income, Level Schooling, Occupation, Usage, knowledge) with the test variable. I'm a beginner in categorical data analysis and I can't imagine what analysis can help me.

*The table in the image is just a piece of the original 324-line table.