Is this "state" in the meaning of "province"?
Correct, as in "Ninatoka jimbo la California," or "I am from the state of California." Note: "la" because jimbo is a MA- noun (plural majimbo).
"taifa" was not accepted as an answer. Should it be?
No, taifa is nation. Many countries are national states, but state and nation are still two different concepts.
nchi was marked wrong