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Does the width of the confidence intervals constructed in

Question: A sample selected from a population gave a sample proportion equal to .31.

a. Make a 95% confidence interval for p assuming n = 1200.

b. Construct a 95% confidence interval for p assuming n = 500.

c. Make a 95% confidence interval for p assuming n = 80.

d. Does the width of the confidence intervals constructed in parts a through c increase as the sample size decreases? If yes, explain why.

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