Additional Information and Full Hypothesis Test Examples · Exercise 43

For each of the word problems, use a solution sheet to do the hypothesis test. The solution sheet is found in Appendix E, Solution Sheets. Please feel free to make copies of the solution sheets. For the online version of the book, it is suggested that you copy the.doc or the.pdf files.

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?

(a) Reject H_0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly less than their share of all motorcycles
(b) Do not reject H_0: There is not sufficient evidence to conclude that the proportion of Harleys stolen is significantly less than their share of all motorcycles
(c) Do not reject H_0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly more than their share of all motorcycles
(d) Reject H_0: There is sufficient evidence to conclude that the proportion of Harleys stolen is significantly more than their share of all motorcycles

This exercise builds on another exercise in its source book, which isn't shown here.

OpenStax, Statistics · §9.5 Additional Information and Full Hypothesis Test Examples · Exercise 43