equality vs status

equality and status both are nouns.

Word	Noun	Adjective	Verb	Adverb
equality	Yes	No	No	No
status	Yes	No	No	No

As nouns, status is a hypernym of equality; that is, status is a word with a broader meaning than equality:

equality: a state of being essentially equal or equivalent; equally balanced
status: the relative position or standing of things or especially persons in a society

Other hypernyms of equality include position.

equality (noun)	status (noun)
the quality of being the same in quantity or measure or value or status	the relative position or standing of things or especially persons in a society
a state of being essentially equal or equivalent; equally balanced	a state at a particular time