According to a recent survey, most Americans prefer to watch a movie in the comfort of their own home rather than going out to a theater. In the telephone survey of 1000 randomly selected American adults, 56% say they rarely or never go out to the movies, while 32% go ‘‘occasionally” and 12% go at least once a month. We wish to estimate the proportion of American adults that rarely or never go out to the movies, and the report tells us: ‘‘The margin of sampling error is +/- 3 percentage points with a 95% level of confidence.” Find and interpret a 95% confidence interval for the proportion rarely or never going out. Can we be relatively sure that the percent rarely or never going out to the movies is greater than 50%?