A genetic experiment involving peas yielded one sample of offspring consisting of 422 green peas and 122 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. What are the null and alternative hypotheses? O A. Ho: p=0.26 O B. Ho: p= 0.26 H,: p>0.26 H:p<0.26 OC. Ho: p= 0.26 O D. Ho: p#0.26 H,: p#0.26 H,:p<0.26 O E. Ho: p#0.26 O F. Ho: p#0.26 H,:p= 0.26 H,: p>0.26 What is the test statistic? (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? O A. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. OB. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.

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A genetic experiment involving peas yielded one sample of offspring consisting of 422 green peas and 122 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.
What are the null and alternative hypotheses?
O A. Ho: p= 0.26
H1: p>0.26
O B. Ho: p= 0.26
H,:p<0.26
O C. Ho: p= 0.26
O D. Ho: p 0.26
H,: p<0.26
H,: p#0.26
O F. Ho: p 0.26
O E. Ho: p#0.26
H4:p> 0.26
H1: p= 0.26
What is the test statistic?
(Round to two decimal places as needed.)
St
What is the P-value?
P-value =
(Round to four decimal places as needed.)
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, a.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
Click to select your answer(s).
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 422 green peas and 122 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. What are the null and alternative hypotheses? O A. Ho: p= 0.26 H1: p>0.26 O B. Ho: p= 0.26 H,:p<0.26 O C. Ho: p= 0.26 O D. Ho: p 0.26 H,: p<0.26 H,: p#0.26 O F. Ho: p 0.26 O E. Ho: p#0.26 H4:p> 0.26 H1: p= 0.26 What is the test statistic? (Round to two decimal places as needed.) St What is the P-value? P-value = (Round to four decimal places as needed.) 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, a. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. Click to select your answer(s).
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