If the secretary does not dismiss a petition filed under Kan. Stat. Ann. §§ 72-2222 and determines that it is necessary to direct and conduct a secret ballot election in order to resolve the questions raised by the petition, the secretary shall order the election held and shall determine the eligibility of professional employees to vote at the election. The secretary shall base his or her determination of the questions raised by the petition upon the result favored by the majority of the professional employees who vote at the election if at least a majority of the eligible professional employees vote. If less than a majority of the eligible professional employees vote at any election conducted under this section, the status of the professional employees with regard to representation prior to the election is maintained. The name of a professional employees’ organization shall not appear on the ballot unless (a) the professional employees’ organization has submitted to the secretary satisfactory evidence demonstrating that at least thirty percent (30%) of the professional employees in the appropriate unit are members in good standing of such organization, or (b) the professional employees’ organization is the currently recognized exclusive representative. In addition to the name of any professional employees’ organization entitled to be contained thereon, the ballot in the election shall contain the choice of “no representation.” When an election in which the ballot contains three (3) or more choices results in no choice receiving a majority of the votes cast, the secretary shall conduct a run-off election by secret ballot. The ballot in a run-off election shall only provide for a selection between the two choices receiving the largest and second largest number of votes in the original election. The secretary shall certify the result of the election to the parties involved therein.