Upon a canvass of the votes cast, the clerk of the county shall certify the result thereof to the director of the Idaho state police and to the director of the division. If a majority of the votes cast are "Shall the sale or delivery of any alcoholic liquor in, on, or from the premises of any state liquor store or distributing station be allowed on any Sunday which does not fall on Christmas Day, Yes," then all liquor stores and distributing stations in the county shall be allowed to transact the sale or delivery of any alcoholic liquor in, on, or from all such premises in the county on any Sunday which does not fall on Christmas Day.