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A proper random sample of 300 people were asked if they believed in ancient advanced civilizations such as Atlantis actually existed. Of those 300 sampled

A proper random sample of 300 people were asked if they believed in ancient advanced civilizations such as Atlantis actually existed. Of those 300 sampled 200 believed that advanced ancient civilizations actually existed. If you allow your confidence level to change, will the interval half width always be bigger than the standard error of the proportion

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