Final answer:
A hypothesis test at the 5 percent significance level indicates there's sufficient evidence that the proportion of stolen Harley Davidson motorcycles is less than their sales share the proportion reported by the AAA, using α = 0.05.
Step-by-step explanation:
The question relates to using statistical methods to determine whether there is evidence that the proportion of Harley Davidson motorcycles stolen is significantly different from their market share of all motorcycles sold. By conducting a hypothesis test at a significance level of 5 percent, we are testing if the observed proportion of 8 percent of stolen motorcycles being Harleys is significantly lower than the expected proportion of 14 percent based on sales data. Since the test resulted in rejecting the null hypothesis (H), we can conclude that there is sufficient evidence at the 5 percent significance level to claim that the proportion of Harleys stolen is significantly less than their share of all motorcycles, aligning with conclusion (e) provided in the reference information.
For the second part involving driver error as the cause of fatal auto accidents, we are looking at whether the observed proportion in a sample of 30 fatal accidents matches the American Automobile Association's claim that driver error accounts for 54 percent of all fatal auto accidents. Based on the data, 14 out of 30 accidents were due to driver error, which is a proportion of 46.7 percent. Using a significance level (α) of 0.05, we would perform a statistical test to see if there is a significant difference between the sample proportion and the AAA reported proportion. Without the results of the test, we cannot draw a conclusion on the accuracy of the AAA proportion.