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Suppose there is a McDonald's next to your school and you want to estimate the proportion,...

Suppose there is a McDonald's next to your school and you want to estimate the proportion, p of all people at your school who go to McDonald's on a typical school day.

(a) If you had no preliminary estimate for p. how many people should you include in a random sample to be 85% sure that the estimate will be within a distance of 0.05 from p? Make sure to show the formula with the numbers plugged in.

(b) Complete the directions in part A knowing that about 1 in 20 students go to McDonald's every day. Make sure to show the formula with the numbers plugged in.

(c) If you want a smaller margin of error, what will you need to do to the sample size?

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