Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla. Based on total sales, the market shares for 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 the following number of vehicles sold. Chevy Cruze 107 Ford Focus 91 Hyundai Elantra 65 Honda Civic 84 Toyota Corolla 53 Use a goodness of fit test to determine if the sample data indicate that the market shares for the five compact cars in this city are different than the market shares reported by Motor Trend. Use a 0.05 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla.t Based on total sales, the market shares for 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 the following number of vehicles sold.
Chevy Cruze
107
Ford Focus
91
Hyundai Elantra
65
Honda Civic
84
Toyota Corolla
53
Use a goodness of fit test to determine if the sample data indicate that the market shares for the five compact cars in this city are different than the market shares reported by Motor Trend. Use a 0.05 level of significance.
State the null and alternative hypotheses.
O H: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend.
H: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend.
O H: The market shares for the five automobiles in this city are 0.24, 0.21, 0.20, 0.18, 0.17.
H: The market shares for the five automobiles in this city differ from the above shares.
O H: The market shares for the five automobiles in this city differ from 0.24, 0.21, 0.20, 0.18, 0.17.
H.: The market shares for the five automobiles in this city are the same as the above shares.
O H.: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend.
H.: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the critical value for the test. (Round your answer to three decimal places.)
critical value =
State your conclusion.
O Reject H,. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.
O Do not reject Ho. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.
O Reject H,. We conclude that the market shares for the five compact cars in this city differ from the market shares reported.
O Do not reject H.. We conclude that the market shares for the five compact cars in this city differ from the market shares reported.
What market share differences, if any, exist in this city?
Chevy Cruze shows ---Select-- v market share in this city. Ford Focus shows -Select--- v market share in this city. Hyundai Elantra shows ---Select-- v market share in this city. Honda Civic shows ---Select- v market share in this city. Toyota Corolla shows
---Select-- v market share in this city.
Transcribed Image Text:Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla.t Based on total sales, the market shares for 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 the following number of vehicles sold. Chevy Cruze 107 Ford Focus 91 Hyundai Elantra 65 Honda Civic 84 Toyota Corolla 53 Use a goodness of fit test to determine if the sample data indicate that the market shares for the five compact cars in this city are different than the market shares reported by Motor Trend. Use a 0.05 level of significance. State the null and alternative hypotheses. O H: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend. H: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend. O H: The market shares for the five automobiles in this city are 0.24, 0.21, 0.20, 0.18, 0.17. H: The market shares for the five automobiles in this city differ from the above shares. O H: The market shares for the five automobiles in this city differ from 0.24, 0.21, 0.20, 0.18, 0.17. H.: The market shares for the five automobiles in this city are the same as the above shares. O H.: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend. H.: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend. Find the value of the test statistic. (Round your answer to three decimal places.) Find the critical value for the test. (Round your answer to three decimal places.) critical value = State your conclusion. O Reject H,. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported. O Do not reject Ho. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported. O Reject H,. We conclude that the market shares for the five compact cars in this city differ from the market shares reported. O Do not reject H.. We conclude that the market shares for the five compact cars in this city differ from the market shares reported. What market share differences, if any, exist in this city? Chevy Cruze shows ---Select-- v market share in this city. Ford Focus shows -Select--- v market share in this city. Hyundai Elantra shows ---Select-- v market share in this city. Honda Civic shows ---Select- v market share in this city. Toyota Corolla shows ---Select-- v market share in this city.
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