genetic experiment involving peas yielded one sample of offspring consisting of 427 green peas and 127 yellow peas. Use a 0.01 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
PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.
1)
A genetic experiment involving peas yielded one sample of offspring consisting of 427 green peas and 127 yellow peas. Use a 0.01 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
What are the null and alternative hypotheses?
A.
H0: p=0.25
H1: p<0.25
B.
H0: p=0.25
H1: p>0.25
C.
H0: p≠0.25
H1: p=0.25
D.
H0: p=0.25
H1: p≠0.25
E.
H0: p≠0.25
H1: p<0.25
F.
H0: p≠0.25
H1: p>0.25
2)
What is the test statistic?
Z=
(Round to two decimal places as needed.)
3)
What is the P-value?
P-value=
(Round to four decimal places as needed.)
4)
What is the conclusion about the null hypothesis?
- Reject the null hypothesis because the P-value is greater than the significance level, α.
- 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 greater than the significance level, α.
- Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
5)
What is the final conclusion?
- There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
- There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
- There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
- There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
Given data
number of success , x= 127.0
sample size, n = 427
population proportion,p= 0.25
Significance level, α= 0.01
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