If a township or city clerk determines that any name has been illegally or fraudulently entered upon the registration records of any precinct in the township or city, the clerk shall remove that name from the registration records and shall notify the individual whose name is removed of the removal by registered or certified mail directed to the individual at the address given on the registration records. An individual representing himself or herself to be the individual whose name is removed is not permitted to vote unless the individual shows to the clerk that his or her name was wrongfully removed from the registration records, in which case his or her name must be reinstated. However, any individual aggrieved by the action of any clerk may review the action and seek the reinstatement of his or her name by mandamus and the proceedings and judgment of the court in the case are subject to review in the supreme court. If a clerk has good reason to believe that any name has been illegally or fraudulently entered upon the registration records and the clerk does not remove the name as provided in this section, the clerk shall write the word “challenged” upon the registration card of the individual and shall lay before the prosecuting attorney of the county all the facts concerning the registration. If an individual whose registration card has been marked offers to vote at any election, the inspectors of election shall at that time examine the individual under oath as to his or her qualifications as an elector in the ward or precinct, the same in all respects and with like effect as though he or she had been challenged at the election by a challenger.