statesman vs adult male

statesman and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
statesman	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of statesman; that is, adult male is a word with a broader meaning than statesman:

statesman: a man who is a respected leader in national or international affairs
adult male: an adult person who is male (as opposed to a woman)

Other hypernyms of statesman include man, national leader, solon.

statesman (noun)	adult male (noun)
a man who is a respected leader in national or international affairs	an adult person who is male (as opposed to a woman)