Question

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.