Mich. Comp. Laws § 168.394

Sec. 394. Any person who has been certified by the state central committee of any party as nominated for the office of justice of the supreme court or who filed an affidavit according to section 392a may withdraw by filing a written notice of withdrawal with the secretary of state or his or her duly authorized agent and a copy with the chairperson and secretary of the state central committee of the party not later than 4 p.m., eastern standard time, of the fourth business day following the conclusion of the convention.