The CDC classifies an adult as "obese" if BMI ≥ 30. Based on the data from the 2010 survey, a 95% confidence interval for the proportion of all adults living in the US that were obese in 2010, p2010, is (0.276, 0.278). Based on the data from the 2000 survey, a 95% confidence interval for the proportion of all adults living in the US that were obese in 2000, p2000, is (0.195, 0.199). (a) Interpret both confidence intervals. (3points) (b) Do you think the sample size for the 2000 survey was smaller or larger than the sample size for the 2010 survey? Why? (3 points) (c) The confidence interval for the difference in proportions, p2010 − p2000, based on the two sets of survey data is (0.049, 0.111). Interpret this interval. (3 points)