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 10.5% of all county residents held at least a bachelor's degree. Find three different confidence intervals - one with sample size 180, one with sample size 451, and one with sample size 621. Assume that 10.5% 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=180n=180, the margin of error for a 95% confidence interval is given by . When n=180n=180, a 95% confidence interval is given by . When n=451n=451, the margin of error for a 95% confidence interval is given by . When n=451n=451, a 95% confidence interval is given by . When n=621n=621, the margin of error for a 95% confidence interval is given by . When n=621n=621, a 95% 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 . If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will .

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 10.5% of all county residents held at least a bachelor's degree.

Find three different confidence intervals - one with sample size 180, one with sample size 451, and one with sample size 621. Assume that 10.5% 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=180n=180, the margin of error for a 95% confidence interval is given by .

When n=180n=180, a 95% confidence interval is given by .
When n=451n=451, the margin of error for a 95% confidence interval is given by .

When n=451n=451, a 95% confidence interval is given by .
When n=621n=621, the margin of error for a 95% confidence interval is given by .

When n=621n=621, a 95% 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 .

If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will .

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