A genetic experiment involving peas yielded one sample of offspring consisting of 429 green peas and 154 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 ОВ. Но: рж0.26 H:p>0.26 H:p<0.26 OC. Họ: p=0.26 O D. Ho: p#0.26 H:p#0.26 H:p<0.26 OF. Ho: p#0.26 O E. Ho: p=0.26 H: p>0.26 H1:p=0.26 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 greater than the significance level, a. O B. 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 less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a.
A genetic experiment involving peas yielded one sample of offspring consisting of 429 green peas and 154 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 ОВ. Но: рж0.26 H:p>0.26 H:p<0.26 OC. Họ: p=0.26 O D. Ho: p#0.26 H:p#0.26 H:p<0.26 OF. Ho: p#0.26 O E. Ho: p=0.26 H: p>0.26 H1:p=0.26 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 greater than the significance level, a. O B. 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 less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a.
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Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 429 green peas and 154 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?
В. Но: р3D0.26
H1: p<0.26
А. Но: р#0.26
H1:p>0.26
Ос. Но: р3D0.26
H1: p#0.26
O D. Ho: p+0.26
H1: p<0.26
О Е. Но: р3D0.26
H1: p>0.26
O F. Ho: p+0.26
H1: 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?
A. Fail to reject the null hypothesis because the P-value is greater than the significance level, oa.
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.
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Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 429 green peas and 154 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.
E. Ho: p= 0.26
O F. Ho: p#0.26
H1: p>0.26
H1: 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?
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 warrant rejection of the claim that 26% of offspring peas will be yellow.
B. There is not sufficient evidence to warrant rejection of the claim that 26% of offspring peas will be yellow.
C. There is not sufficient evidence to support the claim that less than 26% of offspring peas will be yellow.
D. There is sufficient evidence to support the claim that less than 26% of offspring peas will be yellow.
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