Closed caption movies allow the hearing impaired to enjoy the dialogue as well as the acting. A local organization for the hearing impaired people of the community takes a random sample of 85 movie listings offered by the cable television company in order to estimate the proportion of closed caption movies offered. 14 movies were closed caption. The cable television company says at least 5% of the movies shown are closed captioned. Prepare a 90% confidence interval for the true proportion, .