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
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
normal distribution as an approximation to the binomial distribution.
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 Question content area bottom
Part 1
What are the null and alternative hypotheses?
H0: p≠0.26
H1: p>0.26
H0: p≠0.26
H1: p<0.26
H0: p=0.26
H1: p>0.26
H0: p≠0.26
H1: p=0.26
H0: p=0.26
H1: p≠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?
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.
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