Which Way Should the Fan Blow?

On a cool summer night, when you have a hot room, which direction should you point the fan? Should you point the fan so that the cool outside air is coming into the room or should you point the fan so that the hot air is leaving the room?

Up until last night, I would have said you should point the fan so that the cool air is going into the room, but now, I'm not so sure. It just made more sense to me that you would want to force the cold air in. Maybe this is because I'm thinking of something that works more like an air-conditioner which forces cool air into an area.

Last night, I couldn't actually point the fan into the room, the cord wouldn't reach, so I pointed the fan pointing outward. Much to my surprise, the room became quite cool. Cooler than I would ahve expected. Just right now, I had the fan pointing into the room, right at me. This was cooling me off great, but when I got up and walked around the room, I felt it was still stuffy. I turned the fan around, and then walked around the room again, the room felt much cooler.

I can't find any definitive answer on the subject, but right now, I have to say I believe it is better to push the hot air out. What are your thoughts? What has your experience told you is the better way to point a fan?