Answered: A student polls his school to see if…

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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A student polls his school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 600 students and finds that 480 are against the new legislation.

Construct a 90% confidence interval for the true percent of students who are against the new legislation.

Expert Solution

Step 1

Given :

$S a m p l e p r o p o r t i o n = \frac{480}{600} = 0.8$

90% confidence interval can be calculated as,

$P \pm Z_{\frac{α}{2}} \times \sqrt{\frac{P \times (1 - P)}{n}}$
$α = 0.1, α / 2 = 0.05, f r o m Z t a b l e w e f o u n d Z_{\frac{α}{2}} = 1.645$

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