Final answer:
Medicaid is the program designed to provide health insurance for the medically indigent, catering to low-income individuals and families, whereas Medicare is for those over age 65 or with disabilities.
Step-by-step explanation:
The insurance program that provides for the medically indigent (poor) is Medicaid. Enacted in 1965, Medicaid is a federal-state joint program that offers medical insurance to certain low-income individuals, including those near the poverty line and focusing on low-income families with children, the low-income elderly, and the disabled. Contrastingly, Medicare provides health insurance primarily to people over sixty-five years old and those who meet certain criteria for disability.