Answered: the sample size affects the margin of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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The St. Lucie 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 St. Lucie County Economic Development Board found that 19.8% of all county residents held at least a bachelor's degree. Find three different confidence intervals one with sample size 173, one with sample size 420, and one with sample size 842. Assume that 19.8% 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 notationReport all solutions in percent form, rounded to two decimal places , if necessary . When n = 173 , the margin of error for a 98% confidence interval is given by When n=173,a.988 confidence interval is given by When n = 420 , the margin of error for a 98confidence interval is given by When n = 420 , a 98% confidence interval is given by When n = 842 the margin of error for a 98confidence interval is given by When n = 842 a 98% confidence interval is given by

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