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 11.8% of all county residents held at least a bachelor's degree. Find three different confidence intervals one with sample size 435, one with sample size 714, and one with sample size 907. Assume that 11.8% 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 = 435, the margin of error for a 90% confidence interval is given by When n = 435, a 90% confidence interval is given by • When n = 714, the margin of error for a 90% confidence interval is given by When n = 714, a 90% confidence interval is given by • When n = 907, the margin of error for a 90% confidence interval is given by When n = 907, a 90% confidence interval is given by

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
#15
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 11.8% of all county residents held at least a bachelor's
degree.
Find three different confidence intervals one with sample size 435, one with sample size 714, and one
with sample size 907. Assume that 11.8% 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 =
435, the margin of error for a 90% confidence interval is given by
When n =
435, a 90% confidence interval is given by
• When n=
714, the margin of error for a 90% confidence interval is given by
When n
714, a 90% confidence interval is given by
%3D
• When n = 907, the margin of error for a 90% confidence interval is given by
When n =
907, a 90% confidence interval is given by
Transcribed Image Text: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 11.8% of all county residents held at least a bachelor's degree. Find three different confidence intervals one with sample size 435, one with sample size 714, and one with sample size 907. Assume that 11.8% 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 = 435, the margin of error for a 90% confidence interval is given by When n = 435, a 90% confidence interval is given by • When n= 714, the margin of error for a 90% confidence interval is given by When n 714, a 90% confidence interval is given by %3D • When n = 907, the margin of error for a 90% confidence interval is given by When n = 907, a 90% confidence interval is given by
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