Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus. The 2017 market shares are: Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models making up the remaining 23%. Suppose a sample of 400 compact car sales in a certain large city showed the following number of vehicles sold. Honda Civic Toyota Corolla 71 Nissan Sentra 55 Hyundai Elantra 43 Chevrolet Cruze 43 24 Ford Focus 99 Others 65 Use a goodness of fit test to determine if the sample data indicate that the market shares for compact cars in the city are different than the market shares suggested by nationwide 2017 sales. Use a 0.05 level of significance. State the null and alternative hypothesis. OH: The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed. H₂: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. OH: The market shares for the compact cars in the city do not differ from market shares nationwide. H: The market shares for the compact cars in the city differ from market shares nationwide. OH: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. H₂: The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed. OH: The market shares for the compact cars in the city differ from market shares nationwide. H: The market shares for the compact cars in the city do not differ from market shares nationwide. Find the value of the test statistic.(Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value- State your conclusion. O Reject H. We conclude that market shares for the compact cars in the city differ from the nationwide market shares. O Reject H₂. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus.+ The 2017 market shares are: Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford
Focus 8%, with other small car models making up the remaining 23%. Suppose a sample of 400 compact car sales in a certain large city showed the following number of vehicles sold.
Honda Civic
Toyota Corolla 71
Nissan Sentra
99
Ford Focus
Hyundai Elantra 43
Chevrolet Cruze 43
Others
55
24
65
Use a goodness of fit test to determine if the sample data indicate that the market shares for compact cars in the city are different than the market shares suggested by nationwide 2017 sales. Use a 0.05 level of significance.
State the null and alternative hypothesis.
O Ho: The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed.
H₂: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed.
O Ho: The market shares for the compact cars in the city do not differ from market shares nationwide.
H₂: The market shares for the compact cars in the city differ from market shares nationwide.
O Ho: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed.
H₂: The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed.
OH: The market shares for the compact cars in the city differ from market shares nationwide.
H₂: The market shares for the compact cars in the city do not differ from market shares nationwide.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject H. We conclude that market shares for the compact cars in the city differ from the nationwide market shares.
O Reject H₂. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares.
Do not reject H. We conclude that market shares for the compact cars in the city differ from the nationwide market shares.
O Do not reject H. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares.
Transcribed Image Text:Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus.+ The 2017 market shares are: Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models making up the remaining 23%. Suppose a sample of 400 compact car sales in a certain large city showed the following number of vehicles sold. Honda Civic Toyota Corolla 71 Nissan Sentra 99 Ford Focus Hyundai Elantra 43 Chevrolet Cruze 43 Others 55 24 65 Use a goodness of fit test to determine if the sample data indicate that the market shares for compact cars in the city are different than the market shares suggested by nationwide 2017 sales. Use a 0.05 level of significance. State the null and alternative hypothesis. O Ho: The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed. H₂: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. O Ho: The market shares for the compact cars in the city do not differ from market shares nationwide. H₂: The market shares for the compact cars in the city differ from market shares nationwide. O Ho: The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. H₂: The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed. OH: The market shares for the compact cars in the city differ from market shares nationwide. H₂: The market shares for the compact cars in the city do not differ from market shares nationwide. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H. We conclude that market shares for the compact cars in the city differ from the nationwide market shares. O Reject H₂. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares. Do not reject H. We conclude that market shares for the compact cars in the city differ from the nationwide market shares. O Do not reject H. We cannot conclude that market shares for the compact cars in the city differ from the nationwide market shares.
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