EXERCISE 4.20 It is estimated that there are 1127*r million "TV homes" in the United States. Most media research organizations use onlyr 5,000 TV homes to collect infor mation on television viewership patterns. In the language of media research. a tele vision show "rating" measures the percentage of the nation's 115"r million W homes that have watched a particular television program. Thus, for example, it a program has a rating of 27, this means that 29% of all TV homes watched the program. {a} A popular television program received a rating of 20 on a particular evening based on a sample of 5,000 TV homes. Construct a 99% condence interval for the actual percentage of all TV homes that were watching this television program. {bi Suppose a television network would like to estimate the ratings of a new show. The network executives would like to obtain a 95% condence interval whose tolerance level is within 2 rating points. Calculate the size of the sample required to obtain such an estimate