According to a Mason-Dixon survey released on Tuesday, 50% of voters say they would replace Jones with a Republican candidate, compared to 40% who want to give the incumbent another term.
Moore came out as the top choice, with 27% of Alabama voters saying they preferred the former state Supreme Court chief justice.
During the 2017 race, three women accused Moore of sexually assaulting them. Two of the women said they were underage (14 and 16) at the time of the assault.
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