A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? OA. Ho: p*0.27 H₁: p<0.27 OC. Ho: p*0.27 H₁: p=0.27 O E. Ho: p*0.27 H₁:p>0.27 OB. Ho: p=0.27 H₁: p0.27 O D. Ho: p=0.27 H₁: p>0.27 OF. Ho: p=0.27 H₁: p<0.27
A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? OA. Ho: p*0.27 H₁: p<0.27 OC. Ho: p*0.27 H₁: p=0.27 O E. Ho: p*0.27 H₁:p>0.27 OB. Ho: p=0.27 H₁: p0.27 O D. Ho: p=0.27 H₁: p>0.27 OF. Ho: p=0.27 H₁: p<0.27
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify
the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial
distribution.
What are the null and alternative hypotheses?
O A. Ho: p0.27
H₁: p<0.27
O C. Ho: p0.27
H₁: p= 0.27
O E. Ho: p0.27
H₁: p > 0.27
What is the test statistic?
Z=
(Round to two decimal places as needed.)
What is the P-value?
P-value=
(Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
D. Reject the null hypothesis because the P-value is greater than the significance level, a.
What is the final conclusion?
A. There is sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.
B. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.
C. There is sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.
D. There is not sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.
B. Ho: p=0.27
H₁:p #0.27
D. Ho: p = 0.27
H₁:p>0.27
OF. Ho: p= 0.27
H₁: p<0.27](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12f8a0fc-1854-4818-b6ef-1f9785f9b097%2Fbfbffc62-9c73-40a2-929a-0b1fa7104a64%2Fsah2jcd_processed.png&w=3840&q=75)
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify
the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial
distribution.
What are the null and alternative hypotheses?
O A. Ho: p0.27
H₁: p<0.27
O C. Ho: p0.27
H₁: p= 0.27
O E. Ho: p0.27
H₁: p > 0.27
What is the test statistic?
Z=
(Round to two decimal places as needed.)
What is the P-value?
P-value=
(Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
D. Reject the null hypothesis because the P-value is greater than the significance level, a.
What is the final conclusion?
A. There is sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.
B. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.
C. There is sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.
D. There is not sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.
B. Ho: p=0.27
H₁:p #0.27
D. Ho: p = 0.27
H₁:p>0.27
OF. Ho: p= 0.27
H₁: p<0.27
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 17 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman