A sample selected from a population gave a sample proportion equal to .31. a. Make a 95%

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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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