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This question is asking for speculation about the possible results of a study if we change the size of the population. It all depends on unknowns such as how representative the 100 adults are of the population. In general, the larger the population the sure we are that it is representative of the population.

In a poll of 100 adults, 45% reported they believed in "faith healing." (USA Today, 20 April 1998). Based on this survey, a "95% confidence interval" for the proportion in the population who believe in faith healing is about 42% to 48%. If this poll had been based instead on 5000 adults, do you think the "95% confidence interval" would be wider or narrower than the interval given? Explain

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