The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. a. Of those surveyed, 66% said they had a television in their room with a margin of error of ±2%. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll.

b. Of the 1048 teens surveyed, 18% named Fox as their favorite television network with a margin of error of ±3%. Give a 95% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.