A genetic experiment involving peas yielded one sample of offspring consisting of 430 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% 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: p=0.25 OB. Ho: p=0.25 H₁: p>0.25 H₁: p>0.25 OC. Ho: p=0.25 O D. Ho: p=0.25 H₁: p=0.25 H₁: p=0.25 O E. Ho: p=0.25 OF. Ho: p=0.25 H₁: p<0.25 H₁: p<0.25 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? O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. OB. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is greater than the significance level, a. O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. What is the final conclusion? OA. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. OB. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. OC. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. OD. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
A genetic experiment involving peas yielded one sample of offspring consisting of 430 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim
that under the same circumstances, 25% 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: p=0.25
O B. Ho: p=0.25
H₁: p>0.25
H₁: p>0.25
O C. Ho: p=0.25
O D. Ho: p=0.25
H₁: p=0.25
H₁: p=0.25
O E. Ho: p=0.25
OF. Ho: p0.25
H₁: p<0.25
H₁: p<0.25
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?
O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
O C. Reject the null hypothesis because the P-value is greater than the significance level, a.
O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
What is the final conclusion?
O A. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
O B. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
O C. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
D. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 430 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% 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: p=0.25 O B. Ho: p=0.25 H₁: p>0.25 H₁: p>0.25 O C. Ho: p=0.25 O D. Ho: p=0.25 H₁: p=0.25 H₁: p=0.25 O E. Ho: p=0.25 OF. Ho: p0.25 H₁: p<0.25 H₁: p<0.25 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? O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. O C. Reject the null hypothesis because the P-value is greater than the significance level, a. O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. What is the final conclusion? O A. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. O B. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. O C. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. D. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman