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(a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05. Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that the theory is incorrect. O Fail to reject H. We have convincing evidence that the theory is incorrect. O Fail to reject Ho- We do not have convincing evidence that the theory is incorrect. O Reject H. We do not have convincing evidence evidence that the theory is incorrect. (b) Suppose that a random sample of 300 plants had resulted in the same value of x2. How would the analysis and conclusion differ from those in part (a)? O The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would b rejected. ould not chango

(a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05. Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that the theory is incorrect. O Fail to reject H. We have convincing evidence that the theory is incorrect. O Fail to reject Ho- We do not have convincing evidence that the theory is incorrect. O Reject H. We do not have convincing evidence evidence that the theory is incorrect. (b) Suppose that a random sample of 300 plants had resulted in the same value of x2. How would the analysis and conclusion differ from those in part (a)? O The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would b rejected. ould not chango

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes). A researcher has developed a theory, according to which the hypothesized proportions are P₁ = 0.25, P₂ = 0.50, and P3 = 0.25. A random sample of 200 plants yields x² = 4.76. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05. Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that the theory is incorrect. O Fail to reject H. We have convincing evidence that the theory is incorrect. Fail to reject Ho. We do not have convincing evidence that the theory is incorrect. O Reject H. We do not have convincing evidence evidence that the theory is incorrect. (b) Suppose that a random sample of 300 plants had resulted in the same value of x². How would the analysis and conclusion differ from those in part (a)? O The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would be rejected. O The analysis and conclusions would not change. O The previous analysis did not yield a significant result and the null hypothesis was rejected. The new analysis would yield a significant result and the null hypothesis would fail to be rejected. O The previous analysis yielded a significant result and the null hypothesis failed to be rejected. The new analysis would not yield a significant result and the null hypothesis would be rejected. O The previous analysis yielded a significant result and the null hypothesis was rejected. The new analysis would not yield a significant result and the null hypothesis would fail to be rejected.
Transcribed Image Text:A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes). A researcher has developed a theory, according to which the hypothesized proportions are P₁ = 0.25, P₂ = 0.50, and P3 = 0.25. A random sample of 200 plants yields x² = 4.76. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05. Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. We have convincing evidence that the theory is incorrect. O Fail to reject H. We have convincing evidence that the theory is incorrect. Fail to reject Ho. We do not have convincing evidence that the theory is incorrect. O Reject H. We do not have convincing evidence evidence that the theory is incorrect. (b) Suppose that a random sample of 300 plants had resulted in the same value of x². How would the analysis and conclusion differ from those in part (a)? O The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would be rejected. O The analysis and conclusions would not change. O The previous analysis did not yield a significant result and the null hypothesis was rejected. The new analysis would yield a significant result and the null hypothesis would fail to be rejected. O The previous analysis yielded a significant result and the null hypothesis failed to be rejected. The new analysis would not yield a significant result and the null hypothesis would be rejected. O The previous analysis yielded a significant result and the null hypothesis was rejected. The new analysis would not yield a significant result and the null hypothesis would fail to be rejected.
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