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Suppose a vote was conducted in a small town of 5000 people. Among a random sample...

Suppose a vote was conducted in a small town of 5000 people. Among a random sample of 100 votes, 55 were in favor of a proposition while 45 were against it. So the margin of victory of the proposition is estimated to be 10% = 55% − 45%. Denote by p the percentage of the votes in favor of the proposition. (a) Provide an estimate ˆp and construct a 95% confidence interval of p. (b) Express the estimated margin of the victory in terms of ˆp. (c) Calculate the standard error of the estimated margin of the victory from this vote and construct a 95% Confidence Interval.

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