1. A surprising number of young adults (ages 19 to 25) still live in their parents' homes. A random sample by the National Institutes of Health included 2253 men and 2629 women in this age group. The survey found that 986 of the men and 923 of the women lived with their parents. If we construct a 99% confidence interval for the difference between the proportions of young men and young women who live with their parents, p_M - p_W, we get (0.0505, 0.1226). Interpret the confidence interval in the context of the problem. You do not need to do anything else except interpret the interval.

2. Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was the following: "Should the federal tax on cigarettes be raised to pay for health care reform?" Suppose 351 of the 605 non-smokers said "yes," and 41 of the 195 smokers said "yes." Suppose the researchers want to know whether there is sufficient evidence at the = 0.10 level to conclude that the two populations smokers and non-smokersdiffer with respect to their opinions. What hypotheses would you use in a test of significance? You do not need to conduct the test; state the hypotheses only for this question.

3. Your instructor is interested in the mean weight of her ten cats. Suppose she asks the veterinarian's office for the most recent weights, and they provide her with the weights for all ten cats. Would it be appropriate to conduct a test of hypothesis to determine whether the mean weight of Dr. Kay's cats exceeds seven pounds? Explain your answer.