In a nationwide survey, conducted by Pulse Opinion Research, LLC for Rasmussen Reports, a sample of American adults were asked whether they favor a plan to break up the 12 megabanks, which currently control about 69% of the banking industry; 50% of those sampled responded in the affirmative. According to the report, "the margin of sampling error is +/−3 percentage points with a 95% level of confidence." Find and interpret a 95% confidence interval for the percentage of all American adults who favor a plan to break up the 12 megabanks.