Quinnipiac Poll: Connecticut voters back same-sex marriage. “Fifty-two percent say they support the ruling, while 39 percent oppose it. Nine percent are undecided. But voters strongly oppose amending Connecticut’s constitution to ban same-sex marriage, 61 percent to 33 percent. The same poll of 1,445 registered voters gives Senators Joseph Lieberman and Christopher Dodd their lowest approval ratings in the survey’s history.”