hospital vs medical institution

hospital and medical institution both are nouns.

Word	Noun	Adjective	Verb	Adverb
hospital	Yes	No	No	No
medical institution	Yes	No	No	No

As nouns, medical institution is a hypernym of hospital; that is, medical institution is a word with a broader meaning than hospital:

hospital: a medical institution where sick or injured people are given medical or surgical care
medical institution: an institution created for the practice of medicine

hospital (noun)	medical institution (noun)
a health facility where patients receive treatment	an institution created for the practice of medicine
a medical institution where sick or injured people are given medical or surgical care