a newsgroup is interested i nterval for the proportion avor of a new Green initia elected Americans surveye
a newsgroup is interested i nterval for the proportion avor of a new Green initia elected Americans surveye
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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Expert Solution
Step 1
Given,
sample size(n) =585
x = number of Americans who are in favor of the Green initiative = 355
sample proportion (p^) = x/n = 355/585 = 0.6068
significance level (α) = 0.05
For 95 % confidence level ,Zα/2 = 1.96
Margin of error (E) = Zα/2*√p^*(1-p^)/n
= 1.96*√0.6068*(1-0.6068)/585
= 0.0396
a) The 95% confidence interval for the proportions of all Americans who favor the new Green initiative
= p^ ± Margin of error
= 0.6068± 0.0396
= (0.5672,0.6464)
≈ 0.57 < p< 0.65
The 95% confidence interval for the proportions of all Americans who favor the new Green initiative is between 0.57 and 0.65.
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