assumption vs supposal

assumption and supposal both are nouns.

Word	Noun	Adjective	Verb	Adverb
assumption	Yes	No	No	No
supposal	Yes	No	No	No

As nouns, assumption and supposal are synonyms defined as:

Other synonyms of assumption include supposition.

assumption (noun)	supposal (noun)
the act of taking possession of or power over something	a hypothesis that is taken for granted
the act of assuming or taking for granted	the cognitive process of supposing
audacious (even arrogant) behavior that you have no right to
a hypothesis that is taken for granted
a statement that is assumed to be true and from which a conclusion can be drawn