Question

There were 2430 Major League Baseball games played in 2009, and the home team won the...

There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider the games played in 2009 as a sample of all MLB games, test to see if there is evidence, at the 5% significance level, that the home team wins more than half (50%) of the games.

a. Write the null and alternative hypotheses

b. Check the Central Limit Theorem

c. Set up your sampling distribution of proportions and calculate the test statistic

d. Find the p-value

e. Write your conclusion to the hypothesis test

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