Census Accuracy Act of 2019 This bill requires any questionnaire used in the decennial census to determine the total population by states to include (1) a checkbox or other similar option for a respondent to indicate whether he or she is a U.S. citizen or U.S. national, is lawfully admitted for permanent residence in the United States, is an alien who otherwise has lawful status under the immigration laws, or is none of these; and (2) a question regarding which federal program or legal provision accorded the respondent such status.