Poll

Obama says: "'more than 70 percent of National Rifle Association members' support universal background checks"

He is referring to a MAIG (Illegal Mayors Against Guns) survey last year.  Except they lie.  They are a gun control group, and that is what they do.  The Post refers to this lie in this article

This is the NRA poll.
15. A new federal law banning the sale of firearms between private citizens, which would include expanding background checks at gun shows, and 92% of the people polled opposed it. 

92 and 30 are pretty far apart for the same poll.