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The Okeechobee County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor s degree A random sample conducted by the Okeechobee County Economic Development Board found that 11 4 of all county residents held at least a bachelor s degree Find three different confidence intervals one with sample size 395 one with sample size 648 and one with sample size 952 Assume that 11 4 of the county residents in each sample have earned at least a bachelor s degree Notice how the sample size affects the margin of error and the width of the interval Report confidence interval solutions using interval notation Report all solutions in percent form rounded to two decimal places if necessary When n 395 the margin of error for a 98 confidence interval is given by When n When 72 When n 395 a 98 confidence interval is given by 648 the margin of error for a 98 confidence interval is given by When n 648 a 98 confidence interval is given by When 952 the margin of error for a 98 confidence interval is given by 952 a 98 confidence interval is given by If the sample size is increased leaving all other characteristics constant the margin of error of the confidence interval will decrease If the sample size is increased leaving all other characteristics constant the width of

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