A public health official is planning for the supply of influenza vaccine needed for the upcoming flu

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A public health official is planning for the supply of influenza vaccine needed for the upcoming flu season.

She took a poll of 350 local citizens and found that only 126 said they would be vaccinated.

(a) Find the 90% confidence interval for the true proportion of people who plan to get the vaccine.

(b) Find the confidence interval, including the finite correction factor, assuming the town's population is 3000.

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