Any qualified elector of a party participating in any primary election held under the provisions of this chapter may, if the elector participated in the primary, contest a nomination declared by his or her party to any office, other than a county office, by filing with the chair of the state executive committee a statement of contest and grounds thereof, as required by this article, for contest before a committee, verified and with averments the same as therein provided and by giving security as provided in this article. The person whose nomination is contested shall at once be notified by such chair in writing of such fact, and such contestee shall have five days after the receipt of such notice of such contest within which to file with the chair of the state executive committee his or her objections and answers to the statement of contest.