Harley-Davidson motorcycles make up 16% of all motorcycles registered in the United States. In 1995, 9,208 motorcycles were reported stolen; 2,505 of these were Harleys. We can think of motorcycles stolen in 1995 as an SRS of motorcycles stolen in recent years. a) If Harleys made up 16% of motorcycles stolen, what would be the mean and the standard deviation of the sampling distribution of the proportion of Harleys in a sample of 9,208 stolen motocycles? b) Is the proportion of Harleys among stolen bikes significantly higher than their share of all motorcycles? (Use a=.05) z = _______________ P-value =______________ Conclusion: a or b a)There is significant evidence that more than 16% of stolen motorcycles are Harleys. b)There is no evidence that more than 16% of stolen motorcycles are Harleys.
Harley-Davidson motorcycles make up 16% of all motorcycles registered in the United States. In 1995, 9,208 motorcycles were reported stolen; 2,505 of these were Harleys. We can think of motorcycles stolen in 1995 as an SRS of motorcycles stolen in recent years.
a) If Harleys made up 16% of motorcycles stolen, what would be the mean and the standard deviation of the sampling distribution of the proportion of Harleys in a sample of 9,208 stolen motocycles?
b) Is the proportion of Harleys among stolen bikes significantly higher than their share of all motorcycles? (Use a=.05)
z = _______________
P-value =______________
Conclusion: a or b
a)There is significant evidence that more than 16% of stolen motorcycles are Harleys.
b)There is no evidence that more than 16% of stolen motorcycles are Harleys.
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