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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. What are the null and alternative hypotheses? OA. Ho: p*0.27 H₁: p<0.27 OC. Ho: p*0.27 H₁: p=0.27 O E. Ho: p*0.27 H₁:p>0.27 OB. Ho: p=0.27 H₁: p0.27 O D. Ho: p=0.27 H₁: p>0.27 OF. Ho: p=0.27 H₁: p<0.27

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. What are the null and alternative hypotheses? OA. Ho: p*0.27 H₁: p<0.27 OC. Ho: p*0.27 H₁: p=0.27 O E. Ho: p*0.27 H₁:p>0.27 OB. Ho: p=0.27 H₁: p0.27 O D. Ho: p=0.27 H₁: p>0.27 OF. Ho: p=0.27 H₁: p<0.27

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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. What are the null and alternative hypotheses? O A. Ho: p0.27 H₁: p<0.27 O C. Ho: p0.27 H₁: p= 0.27 O E. Ho: p0.27 H₁: p > 0.27 What is the test statistic? Z= (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. D. Reject the null hypothesis because the P-value is greater than the significance level, a. What is the final conclusion? A. There is sufficient evidence to support the claim that less than 27% of offspring peas will be yellow. B. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. C. There is sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. D. There is not sufficient evidence to support the claim that less than 27% of offspring peas will be yellow. B. Ho: p=0.27 H₁:p #0.27 D. Ho: p = 0.27 H₁:p>0.27 OF. Ho: p= 0.27 H₁: p<0.27
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. What are the null and alternative hypotheses? O A. Ho: p0.27 H₁: p<0.27 O C. Ho: p0.27 H₁: p= 0.27 O E. Ho: p0.27 H₁: p > 0.27 What is the test statistic? Z= (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. D. Reject the null hypothesis because the P-value is greater than the significance level, a. What is the final conclusion? A. There is sufficient evidence to support the claim that less than 27% of offspring peas will be yellow. B. There is not sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. C. There is sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow. D. There is not sufficient evidence to support the claim that less than 27% of offspring peas will be yellow. B. Ho: p=0.27 H₁:p #0.27 D. Ho: p = 0.27 H₁:p>0.27 OF. Ho: p= 0.27 H₁: p<0.27
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