Q.133 You plan to conduct a survey on ... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 8: Q.133 (page 492)

You plan to conduct a survey on your college campus to learn about the political awareness of students. You want to estimate the true proportion of college students on your campus who voted in the 2012 presidential election with 95% confidence and a margin of error no greater than five per cent. How many students must you interview?

Short Answer

Expert verified

We must interview $385$ students.

Step by step solution

introduction

Estimation of the true proportion of college students on your campus who voted in the $2012$ presidential election with $95 %$ Confidence with an error marginrole="math" localid="1650881929813" $< 5 %$ .

explanation

Confidence = $95 %$

CL= $0.95$ and margin error =role="math" localid="1650882223575" $5 % = 0.05$

$z_{\frac{a}{2}} = z_{0.025} = 1.96$

Considering proportion role="math" localid="1650882424529" $p' = q'$ = $0.5$

role="math" localid="1650882443967" $n = \frac{z^{2} \frac{a}{2} p^{鈥�} q^{鈥�}}{伪^{2}}$ $= \frac{{1.96}^{2} 脳 0.5 脳 0.5}{{0.05}^{2}}$

$n = 385$

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91影视

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