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What is the sampling distribution of the proportion of your

Question: Harley motorcycles. Harley-Davidson motorcycles make up 14% of all the motorcycles registered in the United States. You plan to interview an SRS of 600 motorcycle owners.

(a) What is the sampling distribution of the proportion of your sample who own Harleys?

(b) How likely is your sample to contain 18.2% or more who own Harleys? How likely is it to contain at least 11.2% Harley owners? Use the 68-95-99.7 rule and your answer to (a).

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