Each person in a random sample of 1,026 adults in the United States was asked the following question. "Based on what you know about the Social Security system today, what would you like Congress and the President to do during the next year?" The response choices and the percentages Lelecting them are shown below. Completely overhaul the system 19% Make some major changes 39% Make some minor adjustments 30% Leave the system the way it is now 11% No opinion 1% a) Find a 95% confidence interval for the proportion of all United States adults who would respond "Make some major changes" to the question. Give an interpretation of the confidence interval. You may assume that all assumptions and conditions are met. (5 points) b) Calculate the margin of error for your confidence interval. (2 points) c) If we treat 39% as the accepted population proportion of people you want to "Make some major changes" and you wanted your 95% confidence interval for that response to have a margin of error of less than +1%, how many people would you have to survey? (3 points)