Wrong,
When I applied for my daughter, I turned in 当年在北京医院开具的出生证, it was translated here and notarized here. I thougt that is a better one. But I got RFE when the case was reviewed. The RFE particularly said the birth cert. must come from the chinese district level notary office (Gongzhengchu).
You see, Gongzhengchu is well-known and famous name even in US officer. They know how to say in Chinese.