4. In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at least once. a. Check the conditions of the Central Limit Theorem. b. Find a 95% confidence interval for the proportion of all adult office workers who have worn a costume to the office at least once. c. Interpret the confidence interval in a complete sentence. d. Can we conclude that more than 30% of all adult office workers have worn a Halloween costume at least once? Explain