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In a random sample of 500 voters from a northern county in West Virginia, 265 of the voters indicate that they will vote for the Democratic candidate for governor.
a. Set a 99% confidence interval for the proportion of voters in the county who will vote for the Democratic candidate.
b. The Republican candidate claims that he will win the county by 1% of the votes.
i. State a null hypothesis for his claim.
ii. Does the confidence interval in part a lead to acceptance or rejection of this null hypothesis? Why?
iii. With what a level was the hypothesis tested?
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