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A genetic experiment involving peas yielded one sample of offspring consisting of 437 green peas and 149 yellow peas. Use a 0.01 significance level to test the claim that under the same​ circumstances, 26​% 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.

A genetic experiment involving peas yielded one sample of offspring consisting of 437 green peas and 149 yellow peas. Use a 0.01 significance level to test the claim that under the same​ circumstances, 26​% 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
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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Question
A genetic experiment involving peas yielded one sample of offspring consisting of
437
green peas and
149
yellow peas. Use a
0.01
significance level to test the claim that under the same​ circumstances,
26​%
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.
 
 
 

Question content area bottom

Part 1
What are the null and alternative​ hypotheses?
 
A.Upper H 0 : p not equals 0.26 Upper H 1 : p greater than 0.26
H0: p≠0.26
H1: p>0.26
 
B.Upper H 0 : p not equals 0.26 Upper H 1 : p less than 0.26
H0: p≠0.26
H1: p<0.26
 
C.Upper H 0 : p equals 0.26 Upper H 1 : p greater than 0.26
H0: p=0.26
H1: p>0.26
 
D.Upper H 0 : p not equals 0.26 Upper H 1 : p equals 0.26
H0: p≠0.26
H1: p=0.26
 
E.Upper H 0 : p equals 0.26 Upper H 1 : p not equals 0.26
H0: p=0.26
H1: p≠0.26
 
F.Upper H 0 : p equals 0.26 Upper H 1 : p less than 0.26
H0: p=0.26
H1: p<0.26
Part 2
What is the test​ statistic?
 
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
What is the​ P-value?
 
​P-value=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
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.
 
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