During one of the first "beer wars" in the early 1980s, a taste test between Schlitz and Budweiser was the focus of a nationally broadcast TV commercial. One hundred people agreed to drink from two unmarked mugs and indicate which of the two beers they liked better; fifty-four said, "Bud". Construct and interpret the corresponding 95% confidence interval for p, the true proportion of beer drinkers who prefered Budweiser to Schlitz.