A recent sports game set a record for the number of television viewers. The game had a share of 78% meaning that among the television sets in use at the time of the game, 78% were tuned to the game. The sample size is 24,278 households. Use a 0.05 significance level to test the claim that more than 74% of television sets in use were tuned to the sports game. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
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