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I survey a simple random sample of 483 people in Portland and find that 274 of...

I survey a simple random sample of 483 people in Portland and find that 274 of them would vote my wife for Queen of Portland. I promise to contribute $100,000 to her campaign if there’s evidence that a majority of people support her bid to become the new Queen, at the 95% confidence level.

a. State the hypothesis in H0 / HA notation.

b. Verify that our data is normal enough to use a confidence interval.

c. Test the hypothesis with a confidence interval, or explain why we cannot do this. d. Write your conclusion in plain language.

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