The Indian River 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 Indian River County Economic Development Board found that 28.5% of all county residents held at least a bachelor's degree. Find three different confidence intervals - one with sample size 502, one with sample size 727, and one with sample size 974. Assume that 28.5% 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 = 502, the margin of error for a 99% confidence interval is given by When n = 502, a 99% confidence interval is given by • When n = 727, the margin of error for a 99% confidence interval is given by When n = 727, a 99% confidence interval is given by • When n = 974, the margin of error for a 99% confidence interval is given by When n 974, a 99% 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 increase If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will decrease