A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 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. C. Ho: p=0.27 H₁: p<0.27 OE. Ho: p=0.27 H₁: p>0.27 What is the test statistic? z = -2.21 (Round to two decimal places as needed.) What is the P-value? P-value 0.0272 (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? D. Ho: p=0.27 H₁: p 0.27 OF. Ho: p 0.27 OA. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. H₁: p=0.27 OB. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is greater than the significance level, a. OD. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.

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A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 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.
C. Ho: p=0.27
H₁: p<0.27
OE. Ho: p=0.27
H₁: p>0.27
What is the test statistic?
z = -2.21
(Round to two decimal places as needed.)
What is the P-value?
P-value
0.0272
(Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
D. Ho: p=0.27
H₁: p 0.27
OF. Ho: p 0.27
OA. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
H₁: p=0.27
OB. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
OC. Reject the null hypothesis because the P-value is greater than the significance level, a.
OD. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 423 green peas and 125 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. C. Ho: p=0.27 H₁: p<0.27 OE. Ho: p=0.27 H₁: p>0.27 What is the test statistic? z = -2.21 (Round to two decimal places as needed.) What is the P-value? P-value 0.0272 (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? D. Ho: p=0.27 H₁: p 0.27 OF. Ho: p 0.27 OA. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. H₁: p=0.27 OB. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is greater than the significance level, a. OD. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
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