Jamaican applying from Grenada, what is the procedure for visa application and how much does it cost?

I'm a medical student studying in Grenada however I've been tutoring English to a student in PRC. It's all voluntary. His family invited me to visit in summer of 2014. I would really like to go. I live across from the Chinese embassy here in Grenada, can I apply directly to them or do I need to send my application home for processing?