A method of making a fully hop flavored beverage employs a hop flavoring agent comprising an extract of hop solids, the hop solids being the residue of a first extraction of hops to remove the alpha acids. Preferably, liquid carbon dioxide is used for the first extraction of the hops and a polar solvent, such as ethanol or water, is used to extract the hop solids. Beverages made by the method and novel compositions for use in the method are also disclosed.