The precinct caucus shall elect, by a majority vote of those present, a chairperson and secretary who shall certify to the city central committee and city clerk the names and addresses of those elected as delegates to the city convention. The number of delegates from each voting precinct shall be determined by a ratio adopted by the respective political party’s city central committee, and the chairperson of the city central committee shall file with the city clerk a statement designating the number of delegates for each voting precinct in the city not less than twenty-five days before the date of the precinct caucuses. If the chairperson of the city central committee fails to so act, the county chairperson shall designate the number of delegates to be elected from each voting precinct and shall cause such information to be published in two newspapers within the city at least ten days prior to holding the precinct caucuses.