A genetic experiment involving peas yielded one sample of offspring consisting of 447 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim that under the same​ circumstances, 24​% 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

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A genetic experiment involving peas yielded one sample of offspring consisting of

447

green peas and

124

yellow peas. Use a

0.01

significance level to test the claim that under the same​ circumstances,

24​%

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.

A genetic experiment involving peas yielded one sample of offspring consisting of 447 green peas and 124 yellow peas.
Use a 0.01 significance level to test the claim that under the same circumstances, 24% 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.
2=0
(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. 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?
O A. There is not sufficient evidence to warrant rejection of the claim that 24% of offspring peas will be yellow.
B. There is sufficient evidence to warrant rejection of the claim that 24% of offspring peas will be yellow.
C. There is not sufficient evidence to support the claim that less than 24% of offspring peas will be yellow.
D. There is sufficient evidence to support the claim that less than 24% of offspring peas will be yellow.
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 447 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 24% 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. 2=0 (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. 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? O A. There is not sufficient evidence to warrant rejection of the claim that 24% of offspring peas will be yellow. B. There is sufficient evidence to warrant rejection of the claim that 24% of offspring peas will be yellow. C. There is not sufficient evidence to support the claim that less than 24% of offspring peas will be yellow. D. There is sufficient evidence to support the claim that less than 24% of offspring peas will be yellow.
A genetic experiment involving peas yielded one sample of offspring consisting of 447 green peas and 124 yellow peas.
Use a 0.01 significance level to test the claim that under the same circumstances, 24% 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?
A. Ho: p=0.24
H₁: p > 0.24
C. Ho: p=0.24
H₁: p>0.24
E. Ho:p # 0.24
H₁: p<0.24
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.)
O B. Ho: p= 0.24
H₁: p<0.24
O D. Ho: p0.24
H₁: p = 0.24
OF. Ho: p= 0.24
H₁: p=0.24
Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 447 green peas and 124 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 24% 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? A. Ho: p=0.24 H₁: p > 0.24 C. Ho: p=0.24 H₁: p>0.24 E. Ho:p # 0.24 H₁: p<0.24 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.) O B. Ho: p= 0.24 H₁: p<0.24 O D. Ho: p0.24 H₁: p = 0.24 OF. Ho: p= 0.24 H₁: p=0.24
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