A genetic experiment involving peas yielded one sample of offspring consisting of 400 green peas and 145 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 normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? O B. Ho: p=0.25 H: p20.25 O A. Ho: p0.25 H:p<0.25 OD. Ho: p=0.25 H:p<0.25 OC. Ho: p20.25 H:p=0.25 O E. Ho: p=0.25 OF. Ho: p#0.25 H:p>0.25 H:p>0.25 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? O A. Reject the null hypothesis because the P-value is greater than the significance level, a. O B. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. OD. 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 400 green peas and 145 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 normal distribution as an approximation to the binomial distribution.
What are the null and alternative hypotheses?
О в. Но: р-0.25
H,:p 0.25
O A. Ho: p#0.25
H:p<0.25
OC. Ho: p#0.25
OD. Ho: p=0.25
H1: p=0.25
H:p<0.25
ОЕ. Но: р30.25
H1:p>0.25
OF. Ho: p#0.25
H1: p>0.25
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?
O A. Reject the null hypothesis because the P-value is greater than the significance level, a.
O B. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.
O C. Reject the null hypothesis because the P-value
less than or equal to the significance level, a.
O D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 400 green peas and 145 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 normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? О в. Но: р-0.25 H,:p 0.25 O A. Ho: p#0.25 H:p<0.25 OC. Ho: p#0.25 OD. Ho: p=0.25 H1: p=0.25 H:p<0.25 ОЕ. Но: р30.25 H1:p>0.25 OF. Ho: p#0.25 H1: p>0.25 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? O A. Reject the null hypothesis because the P-value is greater than the significance level, a. O B. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O C. Reject the null hypothesis because the P-value less than or equal to the significance level, a. O D. Fail to 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 not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
O B. There is sufficient evidence
warrant rejection of the claim that 25% of offspring peas will be yellow.
OC. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
O D. There
s not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
Transcribed Image Text:What is the final conclusion? O A. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. O B. There is sufficient evidence warrant rejection of the claim that 25% of offspring peas will be yellow. OC. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. O D. There s not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow.
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