meAFrd, "çinliler"="Chinese people" is the subject here. You employ the accusative case ending "i" when the noun is a direct object of a transitive verb, as "görmek"="to see". WHAT do i see? I see the Chinese people> "çinleri görürüm".
Just to make sure I got that right:
Çin means Chinese, the adjective as in: Çin yemeği and China, the country
Çinliler are people from China (Çinler would not be correct, would it?)
Çince is the language