A genetic experiment involving peas yielded one sample of offspring consisting of 416 green peas and 170 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

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

A genetic experiment involving peas yielded one sample of offspring consisting of 416 green peas and 170 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.

 

test statistic____

p-value____

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,α.
 
B.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 less than or equal to 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 support the claim that less than 27​%
of offspring peas will be yellow.
 
D.There is sufficient evidence to warrant rejection of the claim that 27​%
of offspring peas will be yellow.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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