A genetic experiment involving peas yielded one sample of offspring consisting of 431 green peas and 162 yellow peas. Use a 0.05 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 normal distribution as an approximation to the binomial distribution. What are the null and altenative hypotheses? OA. Ho: p0.25 H: p<0.25 OB. Ho: p=0.25 H: p40.25 OC. Ha: p=0.25 OD. Ho: p40.25 H:p>0.25 H: p<0.25 OE Ho: p=0.25 H:p>0.25 OF. Ho: p40.25 H,:p=0.25 What is the test statistic? (Round to two decimal places as needed.) What is the P.value? P-value =O (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OB. Reject the null hypothesis because the P.value is greater than the significance level, a. OC. Fall to reject the null hypothesis because the P-value is greater than the significance level, a. OD. Reject the null hypothesis because the P.value is less than or equal to the significance level, a What is the final concluion? OA. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. OB. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. OC. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. OD. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.

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A genetic experiment involving peas yielded one sample of offspring consisting of 431 green peas and 162 yellow peas. Use a 0.05 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 normal distribution as an approximation to the binomial distribution.
What are the null and alternative hypotheses?
O A. Ho: p#0.25
H: p<0.25
O B. Ho: p=0.25
H,:p#0.25
O C. Ho: p= 0.25
H: p<0.25
O D. Ho: p+0.25
H1:p> 0.25
O E. Ho: p=0.25
H1: p>0.25
O F. Ho: p 0.25
H4:p=0.25
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value:
%D
(Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
B. Reject the null hypothesis because the P-value is greater than the significance level, a.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
D. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
What is the final conclusion?
O A. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
B. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
C. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
O D. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 431 green peas and 162 yellow peas. Use a 0.05 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 normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? O A. Ho: p#0.25 H: p<0.25 O B. Ho: p=0.25 H,:p#0.25 O C. Ho: p= 0.25 H: p<0.25 O D. Ho: p+0.25 H1:p> 0.25 O E. Ho: p=0.25 H1: p>0.25 O F. Ho: p 0.25 H4:p=0.25 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value: %D (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. B. Reject the null hypothesis because the P-value is greater than the significance level, a. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. D. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. What is the final conclusion? O A. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. B. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. C. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. O D. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
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