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 grams 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 contained a well-known cereal. The bowls were presented in random order and subjects were asked which cereal they preferred. The study was repeated independently in a second region. In the first region, of the 400 subjects, 220 preferred the new cereal; in the second region, 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?