Formal:
* Je ne suis pas chinois(e). (This is the most literal and straightforward translation.)
Informal:
* Je ne suis pas chinois/chinoise. (This is a more relaxed version of the formal sentence.)
* Je suis pas chinois/chinoise. (This is even more informal and common in spoken French.)
Emphasizing the lack of connection:
* Je n'ai pas de racines chinoises. (I don't have Chinese roots.)
* Je ne suis pas d'origine chinoise. (I am not of Chinese origin.)
Remember to use the correct gender agreement for "chinois" (male) or "chinoise" (female).
It's also important to be mindful of the context and the person you are speaking to.