In the United States, professional baseball determines the winner of the year'scompetition by playing a series of games known as the World Series. The first teamto win four out of seven games is declared the winner. A sportscaster believes that bythe time the World Series comes around, it is reasonable to suppose that on averagethe competing teams are equally matched, and that the probability is 0.5 of eitherteam winning any one game. Others disagree with this theory. The table belowcontains the number of times from 1903 - 2010 that the series lasted 4, 5, 6, or 7games, as well as the probabilities associated with those outcomes if the sportscasteris correct.
Do the data provide sufficient evidence at the .05 level that the sportscaster's belief isincorrect?

Question

In the United States, professional baseball determines the winner of the year'scompetition by playing a series of games known as the World Series. The first teamto win four out of seven games is declared the winner. A sportscaster believes that bythe time the World Series comes around, it is reasonable to suppose that on averagethe competing teams are equally matched, and that the probability is 0.5 of eitherteam winning any one game. Others disagree with this theory. The table belowcontains the number of times from 1903 - 2010 that the series lasted 4, 5, 6, or 7games, as well as the probabilities associated with those outcomes if the sportscasteris correct.  
Do the data provide sufficient evidence at the .05 level that the sportscaster's belief isincorrect?

Quizplus · Accepted Answer

The Answer of In the United States, professional baseball determines the winner of the year'scompetition by playing a series of games known as the World Series. The first teamto win four out of seven games is declared the winner. A sportscaster believes that bythe time the World Series comes around, it is reasonable to suppose that on averagethe competing teams are equally matched, and that the probability is 0.5 of eitherteam winning any one game. Others disagree with this theory. The table belowcontains the number of times from 1903 - 2010 that the series lasted 4, 5, 6, or 7games, as well as the probabilities associated with those outcomes if the sportscasteris correct.  
Do the data provide sufficient evidence at the .05 level that the sportscaster's belief isincorrect?

In the United States, Professional Baseball Determines the Winner of the Year'scompetition