If a ballot question committee that participates in a statewide ballot question believes that, but for error, the outcome of the ballot question would have been the opposite, that ballot question committee may, not later than 5 p.m. of the second day after the day the board of state canvassers certifies the results of the election, file with the secretary of state a recount petition. The ballot question committee must use the form as required under section 865(3). A ballot question committee must file a recount petition in good faith and the number of votes requested to be recounted must, at a minimum, be greater than the difference between the "yes" votes and the "no" votes on the ballot question. If a ballot question committee did not participate in an election in which there was a ballot question on the ballot, any elector who voted in that election may file a recount petition concerning that ballot question in the same manner as provided for a ballot question committee under this section.