(12 points) Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" The results of the survey were: Non-Smokers Smokers Yes No 351 254 41 154 (a) (6 points) Is there sufficient evidence at the α-005 level to conclude that the two population proportions of people that agreed with the tax increase differ for non-smokers and smokers? (b) (6 points) Is there sufficient evidence at the α-0.05 level to conclude that the proportion of people who agreed with the tax increase is lower than 0.5? (12 points) Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" The results of the survey were: Non-Smokers Smokers Yes No 351 254 41 154 (a) (6 points) Is there sufficient evidence at the α-005 level to conclude that the two population proportions of people that agreed with the tax increase differ for non-smokers and smokers? (b) (6 points) Is there sufficient evidence at the α-0.05 level to conclude that the proportion of people who agreed with the tax increase is lower than 0.5?