You may need to use the appropriate technology to answer thisquestion.
Based on sales over a six-month period, the five top-sellingcompact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, HondaCivic, and Toyota Corolla.† Based on total sales, the market sharesfor these five compact cars were Chevy Cruze 24%, Ford Focus 21%,Hyundai Elantra 20%, Honda Civic 18%, and Toyota Corolla 17%.Suppose a sample of 400 compact car sales in one city showed thefollowing number of vehicles sold.
| Chevy Cruze | 107 |
|---|
| Ford Focus | 93 |
|---|
| Hyundai Elantra | 63 |
|---|
| Honda Civic | 84 |
|---|
| Toyota Corolla | 53 |
|---|
Use a goodness of fit test to determine if the sample dataindicate that the market shares for the five compact cars in thiscity are different than the market shares reported by MotorTrend. Use a 0.05 level of significance.
State the null and alternative hypotheses.
H0: The majority of the market shares forthe five automobiles in this city differ from the ones reported byMotor Trend.
Ha: The majority of the market shares for thefive automobiles in this city are the same as the ones reported byMotor Trend.H0: The market shares forthe five automobiles in this city differ from 0.24, 0.21, 0.20,0.18, 0.17.
Ha: The market shares for the five automobilesin this city are the same as the aboveshares. H0: Themajority of the market shares for the five automobiles in this cityare the same as the ones reported by Motor Trend.
Ha: The majority of the market shares for thefive automobiles in this city differ from the ones reported byMotor Trend.H0: The market shares forthe five automobiles in this city are 0.24, 0.21, 0.20, 0.18,0.17.
Ha: The market shares for the five automobilesin this city differ from the above shares.
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the critical value for the test. (Round your answer tothree decimal places.)
critical value =
State your conclusion.
Reject H0. We cannot conclude that themarket shares for the five compact cars in this city differ fromthe market shares reported. Do not reject H0.We conclude that the market shares for the five compact cars inthis city differ from the market sharesreported. Do not rejectH0. We cannot conclude that the market sharesfor the five compact cars in this city differ from the marketshares reported. Reject H0. We conclude thatthe market shares for the five compact cars in this city differfrom the market shares reported.
What market share differences, if any, exist in this city?
Chevy Cruze shows ---Select--- a higher a lower thesame market share in this city. Ford Focusshows ---Select--- a higher a lower the same marketshare in this city. Hyundai Elantra shows ---Select--- ahigher a lower the same market share in this city. Honda Civicshows ---Select--- a higher a lower the same marketshare in this city. Toyota Corolla shows ---Select--- ahigher a lower the same market share in this city.
