Religion hasn't been much of a factor in Michigan, but Hutchings said there's always the possibility that might change in the privacy of the voting booth. Utahns polled believe Romney's Mormonism cost him in Iowa.

Sixty-nine percent told Dan Jones & Associates that Romney was hurt by his faith in Iowa, where evangelical voters made up an estimated 60 percent of Republican voters. Twenty-six percent said it made no difference, and just 1 percent thought being Mormon helped Romney.

In response to the poll, Romney spokesman Gail Gitcho said he "is very proud of the support that he has received in Utah. Utahns know from the work he did at the Salt Lake City Olympics that Governor Romney is a proven turnaround artist, and he is the only candidate in this race who can turn around Washington with real, conservative leadership."

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