(5 points each) A survey of 12,000 students found that 9% of elementary students eat the appropriate amount of vegetables for lunch at school. The government office conducting the study wants to know the following. a. Determine the 96% confidence interval for the true proportion of elementary students that do not eat the appropriate amount of vegetables for lunch at school. b. Determine the 96% confidence interval for the true proportion of elementary students that do eat the appropriate amount of vegetables for lunch at school. c. Determine the minimum sample size needed for the 96% confident interval if the government wants the estimate to be within 2%