A genetic experiment involving peas yielded one sample of offspring consisting of 408 green peas and 154 yellow peas. Use a 0.05 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? A. H0: p=0.27 H1: p>0.27 B. H0: p=0.27 H1: p≠0.27 C. H0: p=0.27 H1: p<0.27 D. H0: p≠0.27 H1: p<0.27 E. H0: p≠0.27 H1: p=0.27 F. H0: p≠0.27 H1: p>0.27 What is the test statistic? z=enter your response here (Round to two decimal places as needed.) What is the P-value? P-value=enter your response here (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. D. Reject the null hypothesis because the P-value is greater than the significance level, α. What is the final conclusion? A. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. B. There is not sufficient evidence to support the claim that less than 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 sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.
A genetic experiment involving peas yielded one sample of offspring consisting of 408 green peas and 154 yellow peas. Use a 0.05 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? A. H0: p=0.27 H1: p>0.27 B. H0: p=0.27 H1: p≠0.27 C. H0: p=0.27 H1: p<0.27 D. H0: p≠0.27 H1: p<0.27 E. H0: p≠0.27 H1: p=0.27 F. H0: p≠0.27 H1: p>0.27 What is the test statistic? z=enter your response here (Round to two decimal places as needed.) What is the P-value? P-value=enter your response here (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. D. Reject the null hypothesis because the P-value is greater than the significance level, α. What is the final conclusion? A. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. B. There is not sufficient evidence to support the claim that less than 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 sufficient evidence to support the claim that less than 27% 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
Related questions
Question
A genetic experiment involving peas yielded one sample of offspring consisting of
normal distribution as an approximation to the binomial distribution.
408
green peas and
154
yellow peas. Use a
0.05
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 What are the null and alternative hypotheses?
H0: p=0.27
H1: p>0.27
H0: p=0.27
H1: p≠0.27
H0: p=0.27
H1: p<0.27
H0: p≠0.27
H1: p<0.27
H0: p≠0.27
H1: p=0.27
H0: p≠0.27
H1: p>0.27
What is the test statistic?
z=enter your response here
(Round to two decimal places as needed.)
What is the P-value?
P-value=enter your response here
(Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
Reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
Fail to reject
the null hypothesis because the P-value is
less than or equal to
the significance level,
α.
Fail to reject
the null hypothesis because the P-value is
greater than
the significance level,
α.
Reject
the null hypothesis because the P-value is
greater than
the significance level,
α.
What is the final conclusion?
There
is not
sufficient evidence to warrant rejection of the claim that
27%
of offspring peas will be yellow.There
is not
sufficient evidence to support the claim that less than
27%
of offspring peas will be yellow.There
is
sufficient evidence to warrant rejection of the claim that
27%
of offspring peas will be yellow.There
is
sufficient evidence to support the claim that less than
27%
of offspring peas will be yellow.Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman