Based on sales over a sixmonth period, the five topselling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla (Motor Trend, November 2, 2011). A sample of compact car sales in Chicago showed the following number of vehicles sold:

Cars - Vehicles Sold

Chevy Cruze - 108

Ford Focus - 92

Hyundai Elantra - 64

Honda Civic - 84

Toyota Corolla - 52

a. State your null and alternative hypotheses.

b. Use a goodness of fit test to determine if the sample data indicate that the market shares for the five compact cars in Chicago are different than the market shares reported by Motor Trend. Show all the steps in your calculations of this test, including the degrees of freedom.

c. Using a 5% level of significance, what is the pvalue for this test?

d. What is your conclusion?

e. What market share differences from others, if any, exist in Chicago?