A candidate for one of Ohio’s two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 1000 registered voters in the northern half of the state is selected, of which 546 support the candidate. Additionally, a random sample of 1000 registered voters in the southern half of the state is selected, of which 475 support the candidate. Construct a 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state.
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