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The Okeechobee County Health Department needs to estimate the proportion of all children in the county aged 19 35 months that are completely up to date with all state recommended immunizations The Okeechobee County Health Department found that 76 of a random sample of children in the county aged 19 35 months were completely up to date with all state recommended immunizations Find three different confidence intervals one with sample size 285 one with sample size 454 and one with sample size 631 Assume that 76 of the children each sample are completely up to date with all state recommended immunizations Observe how the sample size affects the margin of error and subsequently the width of each interval Report confidence interval solutions using interval notation Report all solutions in percent form rounded to two decimal places if necessary When n 285 the margin of error for a 90 confidence interval is given by When n 285 a 90 confidence interval is given by When n 454 the margin of error for a 90 confidence interval is given by When n 454 a 90 confidence interval is given by When n 631 the margin of error for a 90 confidence interval is given by When n 631 a 90 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 Select an answer If the sample size is increased leaving all other characteristics constant the width of the confidence interval will Select an answer

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