Read the full Quinnipiac Poll

Rudolph Giuliani’s lead in the New York State Republican presidential primary is shrinking as he gets 34 percent to former Arizona Gov. Mike Huckabee’s 12 percent, with 11 percent for Arizona Sen. John McCain, 7 percent for former Tennessee Sen. Fred Thompson and 5 percent each for Massachusetts Gov. Mitt Romney and Texas Congressman Ron Paul, according to a Quinnipiac University poll. This is down from a 45 – 12 percent Giuliani lead over Thompson in an October 17 poll.

In the Democratic primary, Hillary Clinton leads Barack Obama 55 – 17 percent, with 7 percent for . John Edwards. This compares to a 49 – 12 percent Clinton lead October 17.

On the issues, 55 percent of voters say immigration reform should focus on stricter enforcement of laws against illegal immigration, while 34 percent say the focus should be on integrating immigrants into American society.