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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 385students.

Step by step solution

01

introduction

Estimation of the true proportion of college students on your campus who voted in the2012presidential election with95%Confidence with an error marginrole="math" localid="1650881929813" <5%.

02

explanation

Confidence =95%

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

za2=z0.025=1.96

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

role="math" localid="1650882443967" n=z2a2p′q′α2=1.962×0.5×0.50.052

n=385

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