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The Martin 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 Martin County Health Department found that 66 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 480 one with sample size 743 and one with sample size 956 Assume that 66 of the children each sample are completely up to date with all state recommended immunizations 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 480 the margin of error for a 96 confidence interval is given by When n 480 a 96 confidence interval is given by When n 743 the margin of error for a 96 confidence interval is given by When n 743 a 96 confidence interval is given by When n 956 the margin of error for a 96 confidence interval is given by When n 956 a 96 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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