Chapter 8.3, Problem 31BSC

Testing Claims About Proportions. In Exercises 9-32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution (as described in Part I of this section).

31. Nielsen Ratings A recent Super Bowl football game between the New Orleans Saints and the Indianapolis Colts set a record for the number of television viewers. According to the Nielsen company, that game had a share of 77%, meaning that among the television sets in use at the time of the game, 77% were tuned to the game. Nielsen’s sample size is 25,000 households. Use a 0.01 significance level to test the claim of a media report that more than 75% of television sets in use were tuned to the Super Bowl.