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Who owns a Harley? Harley-Davidson motorcycles make up 14%of all the motorcycles registered in the United States. You plan to interview an SRS of 500motorcycle owners. How likely is your sample to contain 20% or more who own Harleys?

Short Answer

Expert verified

Required probability isP(p^0.20)=0.00008

Step by step solution

01

Given Information

It is given that p=14%=0.14

n=500

02

Calculation

As p^=p=0.14

We know that p^=p(1-p)n

=0.14(1-0.14)500=0.0155

Also, z=x-

=0.20-0.140.0155=3.87

Required probability is P(p^0.20)

=P(z3.78)=1-P(z3.78)

=1-0.99992=0.00008

Required probability isrole="math" localid="1654901989353" 0.00008

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