The following exercise describes the results of a hypothesis test in terms of the probability of obtaining a particular sample. Use the given context to formulate the null and alternative hypothesis. Then discuss whether the sample provides evidence for rejecting or not rejecting the null hypothesis.
The owner of a rental car company claims that the mean annual mileage for the population of all cars in his fleet is more than 11,738 miles (which is the mean annual mileage for all cars in the country). A random sample of n 228 cars from his fleet has a mean annual mileage of 11,926 miles. Assuming that the mean annual mileage for all cars in his fleet is 11,738 miles, the probability of selecting a random sample of this size with a mean annual mileage of 11,926 or more is 0.0668
Formulate the null hypothesis.
A. The mean annual mileage of all cars in the owner's fleet is not 11,738 miles.
B. The mean annual mileage of all cars in the owner's fleet is 11,926 miles.
C. The mean annual mileage of all cars in the owner's fleet is 11,738 miles.
D. The mean annual mileage of all cars in the owner's fleet is not 11,926 miles.