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9.5 Exercise 58

Avg difficulty 2.5

Harley Davidson motorcycles are the largest selling motorcycle in the United States, with 14 percent of all motorcycles sold in 2012. Interestingly, a random sample of 1,945 stolen motorcycles was selected, and it was found that just 8 percent of them were Harleys. Is there good evidence that the proportion of Harleys among stolen motorcycles is significantly less than their share of all motorcycles? After conducting the test, what decision and conclusion would you make?

  1. Reject H0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly less than their share of all motorcycles
  2. Do not reject H0: There is not sufficient evidence to conclude that the proportion of Harleys stolen is significantly less than their share of all motorcycles
  3. Do not reject H0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly more than their share of all motorcycles
  4. Reject H0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly more than their share of all motorcycles

OpenStax Statistics, 9.5 Additional Information and Full Hypothesis Test Examples, exercise 58

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