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1. A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of...

1. A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.

2. 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 1% level, that the home team wins more than half the games.
A. Set up your null and alternative hypothesis
B. Show evidence that we pass all of the conditions to conduct a hypothesis test.
C. Calculate the p-value.
D.State your conclusion to the test.

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