health care vs Medicaid

health care and Medicaid both are nouns.

Word	Noun	Adjective	Verb	Adverb
health care	Yes	No	No	No
Medicaid	Yes	No	No	No

As nouns, Medicaid is a hyponym of health care; that is, Medicaid is a word with a more specific, narrower meaning than health care:

Other hyponyms of health care include Medicare, primary health care.

health care (noun)	Medicaid (noun)
social insurance for the ill and injured	health care for the needy; a federally and state-funded program
the preservation of mental and physical health by preventing or treating illness through services offered by the health profession