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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
icon
Related questions
Question
### Analysis of Compact Car Market Share Based on 2017 Sales Data

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:

| Car Model       | Number of Vehicles Sold |
|-----------------|-------------------------|
| Honda Civic     | 99                      |
| Toyota Corolla  | 71                      |
| Nissan Sentra   | 55                      |
| Hyundai Elantra | 43                      |
| Chevrolet Cruze | 43                      |
| Ford Focus      | 24                      |
| 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
**Option 1:**
- \( H_0 \): The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed.
- \( H_a \): The market shares for the compact cars in the city are not different from any of the nationwide market shares listed.

**Option 2:**
- \( H_0 \): The market shares for the compact cars in the city do not differ from market shares nationwide.
- \( H_a \): The market shares for the compact cars in the city differ from market shares nationwide.

**Option 3:**
- \( H_0 \): The market shares for the compact cars in the city are not different from any of the nationwide market shares listed.
- \( H_a \): The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed.

**Option 4:**
- \( H_0 \): The market shares for the compact cars in the city differ from market shares nationwide.
- \( H_a \): The market shares for the compact cars in the city do not differ from market shares nationwide.

**Option
Transcribed Image Text:### Analysis of Compact Car Market Share Based on 2017 Sales Data 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: | Car Model | Number of Vehicles Sold | |-----------------|-------------------------| | Honda Civic | 99 | | Toyota Corolla | 71 | | Nissan Sentra | 55 | | Hyundai Elantra | 43 | | Chevrolet Cruze | 43 | | Ford Focus | 24 | | 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 **Option 1:** - \( H_0 \): The market shares for the compact cars in the city are different from at least one of the nationwide market shares listed. - \( H_a \): The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. **Option 2:** - \( H_0 \): The market shares for the compact cars in the city do not differ from market shares nationwide. - \( H_a \): The market shares for the compact cars in the city differ from market shares nationwide. **Option 3:** - \( H_0 \): The market shares for the compact cars in the city are not different from any of the nationwide market shares listed. - \( H_a \): The market shares for the compact cars in the city are different for at least one of the nationwide market shares listed. **Option 4:** - \( H_0 \): The market shares for the compact cars in the city differ from market shares nationwide. - \( H_a \): The market shares for the compact cars in the city do not differ from market shares nationwide. **Option
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 12 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
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