enetic experiment involving peas yielded one sample of offspring consisting of 415 green peas and 151 yellow peas. Use a 0.05 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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genetic experiment involving peas yielded one sample of offspring consisting of
415
green peas and
151
yellow peas. Use a
0.05
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.
 
 
 

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Part 1
What are the null and alternative​ hypotheses?
 
A.Upper H 0 : p not equals 0.25 Upper H 1 : p greater than 0.25
H0: p≠0.25
H1: p>0.25
 
B.Upper H 0 : p not equals 0.25 Upper H 1 : p equals 0.25
H0: p≠0.25
H1: p=0.25
 
C.Upper H 0 : p not equals 0.25 Upper H 1 : p less than 0.25
H0: p≠0.25
H1: p<0.25
 
D.Upper H 0 : p equals 0.25 Upper H 1 : p greater than 0.25
H0: p=0.25
H1: p>0.25
 
E.Upper H 0 : p equals 0.25 Upper H 1 : p not equals 0.25
H0: p=0.25
H1: p≠0.25
Your answer is correct.
 
F.Upper H 0 : p equals 0.25 Upper H 1 : p less than 0.25
H0: p=0.25
H1: p<0.25
Part 2
What is the test​ statistic?
 
z=
p=
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