A genetic experiment involving peas yielded one sample of offspring consisting of 445 green peas and 164 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 23% 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= 0.23 О В. Но: р30.23 H:p>0.23 H,:p<0.23 Ос. Но: р#0.23 O D. Ho: p= 0.23 H4:p=0.23 H,: p#0.23 ОЕ. Но: р#0.23з O F. Ho: p#0.23 H: p<0.23 H4:p>0.23 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.)

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

7.

A genetic experiment involving peas yielded one sample of offspring consisting of 445 green peas and 164 yellow peas. Use a 0.01 significance level to test the claim that under
the same circumstances, 23% 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?
О А. Но: р-0.23
О В. Но: р-0.23
H1:p<0.23
H1:p>0.23
Ос. Но: р#0.23
H1: p= 0.23
O D. Ho: p=0.23
H4:p#0.23
O E. Ho: p+0.23
O F. Ho: p#0.23
H1:p<0.23
H1:p>0.23
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value =
(Round to four decimal places as needed.)
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 445 green peas and 164 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 23% 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? О А. Но: р-0.23 О В. Но: р-0.23 H1:p<0.23 H1:p>0.23 Ос. Но: р#0.23 H1: p= 0.23 O D. Ho: p=0.23 H4:p#0.23 O E. Ho: p+0.23 O F. Ho: p#0.23 H1:p<0.23 H1:p>0.23 What is the test statistic? (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. Reject the null hypothesis because the P-value is greater than the significance level, a.
B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, .
D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, .
What is the final conclusion?
A. There is not sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
C. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
D. There is not sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
Transcribed Image Text:What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is greater than the significance level, a. B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, . D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, . What is the final conclusion? A. There is not sufficient evidence to support the claim that less than 23% of offspring peas will be yellow. B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow. C. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow. D. There is not sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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