The Indian River County Health Department needs to estimate the proportion of all children in the county aged 19-35 months that are completely up date with all state-recommended immunizations. The Indian River County Health Department found that 74% 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 121, one with sample size 361, and one with sample size 674. Assume that 74% 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 = 121, the margin of error for a 90% confidence interval is given by When n = 121, a 90% confidence interval is given by • When n = 361, the margin of error for a 90% confidence interval is given by When n = 361, a 90% confidence interval is given by . When n= 674, the margin of error for a 90% confidence interval is given by When n = 674, a 90% confidence interval is given by

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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The Indian River 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 Indian
River County Health Department found that 74% 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 121, one with sample size 361, and one
with sample size 674. Assume that 74% 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 = 121, the margin of error for a 90% confidence interval is given by
When n =
121, a 90% confidence interval is given by
When n = 361, the margin of error for a 90% confidence interval is given by
When n =
361, a 90% confidence interval is given by
. When n = 674, the margin of error for a 90% confidence interval is given by
When n = 674, 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 ✓
Transcribed Image Text:The Indian River 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 Indian River County Health Department found that 74% 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 121, one with sample size 361, and one with sample size 674. Assume that 74% 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 = 121, the margin of error for a 90% confidence interval is given by When n = 121, a 90% confidence interval is given by When n = 361, the margin of error for a 90% confidence interval is given by When n = 361, a 90% confidence interval is given by . When n = 674, the margin of error for a 90% confidence interval is given by When n = 674, 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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