There is substantial interest in the health benefits of the consumption of high amounts of fiber in diets. a market research team is interested in the public acceptance of a new high-fiber cereal (more than 8 gm of fiber per serving) that is to be marketed. to that end, the researchers selected a random sample of subjects from one region of the country. the selected subjects were provided with two bowls of cereal. one bowl contained the new cereal and the other bowl a well-known and popular cereal. the bowls were presented in random order and subjects asked which cereal they preferred. the study was repeated independently in a second region. in region 1, of the 400 subjects, 220 preferred the new cereal; in region 2, 195 of the 300 subjects indicated a preference for the new cereal. the researchers wanted to test whether the proportions of consumers who preferred the new high-fiber cereal are the same or different in the two regions. what null and alternative hypotheses should they establish?