Why is it true that for a given sample size, n, an increase in confidence is achieved

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Why is it true that for a given sample size, n, an increase in confidence is achieved by widening (and making less precise) the confidence interval?
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Basic Business Statistics Concepts And Applications

ISBN: 9780132168380

12th Edition

Authors: Mark L. Berenson, David M. Levine, Timothy C. Krehbiel

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