In the New Jersey Star Ledger, the difference between giving people all the options and narrowing their choices becomes clear:
The poll [PDF], by the Democratic firm Public Policy Polling, found 47 percent of voters [in New Jersey] wanted to legalize marriage between same-sex partners, while 42 percent wanted to keep it illegal.
... But when the pollster asked the question a different way, a majority of voters opposed gay marriage. When asked if gay couples should be able to legally marry, enter into civil unions but not marry, or not have their relationship recognized at all, 41 percent favored marriage, 40 percent favored civil unions but not marriage, and 17 percent wanted no recognition.