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In the US, primary elections are held to determine who will be the presidential candidate for a particular party. Two of the first states to hold primary elections for president are Iowa and New Hampshire. A candidate wishes to know if her popularity in these states is similar. She decides to conducts polls of random samples of voters to determine their voting preference. A recent poll of 825 voters in Iowa shows this candidate has 24% of the vote, while a different poll of 775 voters from New Hampshire shows this candidate has 20% of the vote in New Hampshire.

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