The recall of a local officer is proposed by filing a petition with the county election officer of the county in which all or the greater part of the population of the election district of the local officer is located, if not a school district, or the home county of the school district, if the election district of the local officer is a school district. The recall of a county election officer (if elected) is proposed by filing a petition with the county attorney of his or her county who shall perform the duties imposed on the county election officer in the recall of other local officers.