21.22 Harley motorcycles. In 2013, it was reported that 55% of the new motorcycles that were registered in the United States were Harley-Davidson motorcycles. You plan to interview an SRS of 600 new...

21.22

Harley motorcycles. In 2013, it was reported that 55% of the new motorcycles that were registered in the United States were Harley-Davidson motorcycles. You plan to interview an SRS of 600 new 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 57% or more who own Harleys? How likely is it to contain at least 51% Harley owners? Use the 68–95–99.7 rule and your answer to part (a)