Teens and their TV sets. The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-yearolds.

Of these teenagers, 692 had a television in their room. Also, of the 1048 teens surveyed, 189 named Fox as their favorite television network. We can consider the sample to be an SRS.

(a) Give 95% confidence intervals for the proportion of all people in this age group who had a TV in their room at the time of the poll and the proportion who would choose Fox as their favorite network.

(b) The news article says, “In theory, in 19 cases out of 20, the poll results will differ by no more than three percentage points in either direction from what would have been obtained by seeking out all American teenagers.” Explain how your results agree with this statement.