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 108 Ford Focus 92 Hyundai Elantra 65 Honda Civic 83 Toyota Corolla 52   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. H0: The market shares for the five automobiles in this city are 0.24, 0.21, 0.20, 0.18, 0.17. Ha: The market shares for the five automobiles in this city differ from the above shares.H0: The market shares for the five automobiles in this city differ from 0.24, 0.21, 0.20, 0.18, 0.17. Ha: The market shares for the five automobiles in this city are the same as the above shares.    H0: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend. Ha: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend.H0: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend. Ha: 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 p-value. (Round your answer to four decimal places.) p-value =  State your conclusion. Do not reject H0. We conclude that the market shares for the five compact cars in this city differ from the market shares reported.Reject H0. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.     Do not reject H0. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.Reject H0. 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      market share in this city. Ford Focus shows      market share in this city. Hyundai Elantra shows      market share in this city. Honda Civic shows      market share in this city. Toyota Corolla shows      market share in this city.

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
icon
Related questions
Question

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 108
Ford Focus 92
Hyundai Elantra 65
Honda Civic 83
Toyota Corolla 52

 

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.
H0: The market shares for the five automobiles in this city are 0.24, 0.21, 0.20, 0.18, 0.17.
Ha: The market shares for the five automobiles in this city differ from the above shares.H0: The market shares for the five automobiles in this city differ from 0.24, 0.21, 0.20, 0.18, 0.17.
Ha: The market shares for the five automobiles in this city are the same as the above shares.    H0: The majority of the market shares for the five automobiles in this city are the same as the ones reported by Motor Trend.
Ha: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend.H0: The majority of the market shares for the five automobiles in this city differ from the ones reported by Motor Trend.
Ha: 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 p-value. (Round your answer to four decimal places.)
p-value = 
State your conclusion.
Do not reject H0. We conclude that the market shares for the five compact cars in this city differ from the market shares reported.Reject H0. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.     Do not reject H0. We cannot conclude that the market shares for the five compact cars in this city differ from the market shares reported.Reject H0. 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      market share in this city. Ford Focus shows      market share in this city. Hyundai Elantra shows      market share in this city. Honda Civic shows      market share in this city. Toyota Corolla shows      market share in this city.
 
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Markov Processes and Markov chain
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL