For an exit poll of people who voted in a gubernatorial election, 40% voted for Jones and

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For an exit poll of people who voted in a gubernatorial election, 40% voted for Jones and 60% for Smith.

Assuming this is a random sample of all voters, construct a 99% confidence interval for the proportion of votes that Jones received, if the sample size was

(a) 400,

(b) 40. In each case, indicate whether you would be willing to predict the winner. Explain how and why the sample size affects the inference.

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