I don't know where you guys are getting these numbers, but I know they are not correct for past hiring. Even for people without really strong "connections." Just apply regardless of if you think it will be enough, you never know they might like the college you went to, your extra activities, or whatever. I applied really hoping to get hired, but I thought there was no way I would get an interview, but knew it would be worth it to show interest while I continued to build time, and then surprise I get an invite. Don't let numbers you hear keep you from trying.