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A researcher observes that when two heterozygous plants with red flowers are crossed, the resulting offspring include plants with red, white, or pink flowers. The researcher proposes the null hypothesis that flower color is the result of independent assortment and incomplete dominance. The researcher calculates a chi-square value of 7.3. Assuming two degrees of freedom, which of the following is the correct interpretation of the chi-square analysis, using a p-value of 0.05? The null hypothesis should be rejected because the critical value is less than the calculated value. The null hypothesis should not be rejected because the critical value is greater than the calculated value. The null hypothesis should be rejected because the critical value is greater than the calculated value. The null hypothesis should not be rejected because the critical value is less than the calculated value.

A researcher observes that when two heterozygous plants with red flowers are crossed, the resulting offspring include plants with red, white, or pink flowers. The researcher proposes the null hypothesis that flower color is the result of independent assortment and incomplete dominance. The researcher calculates a chi-square value of 7.3. Assuming two degrees of freedom, which of the following is the correct interpretation of the chi-square analysis, using a p-value of 0.05? The null hypothesis should be rejected because the critical value is less than the calculated value. The null hypothesis should not be rejected because the critical value is greater than the calculated value. The null hypothesis should be rejected because the critical value is greater than the calculated value. The null hypothesis should not be rejected because the critical value is less than the calculated value.

Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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### Chi-Square Analysis in Plant Genetics #### Question: A researcher observes that when two heterozygous plants with red flowers are crossed, the resulting offspring include plants with red, white, or pink flowers. The researcher proposes the null hypothesis that flower color is the result of independent assortment and incomplete dominance. The researcher calculates a chi-square value of 7.3. Assuming two degrees of freedom, which of the following is the correct interpretation of the chi-square analysis, using a p-value of 0.05? 1. The null hypothesis should be rejected because the critical value is less than the calculated value. 2. The null hypothesis should not be rejected because the critical value is greater than the calculated value. 3. The null hypothesis should be rejected because the critical value is greater than the calculated value. **(Correct Answer)** 4. The null hypothesis should not be rejected because the critical value is less than the calculated value. #### Explanation: When performing a chi-square analysis, the researcher compares the calculated chi-square value to the critical value from the chi-square distribution table for the given degrees of freedom and p-value. In this scenario: - Calculated chi-square value: 7.3 - Degrees of freedom: 2 - p-value: 0.05 For two degrees of freedom and a p-value of 0.05, the critical value from the chi-square distribution table is approximately 5.99. Since the calculated chi-square value (7.3) is greater than the critical value (5.99), we reject the null hypothesis. Therefore, the correct interpretation is: **"The null hypothesis should be rejected because the critical value is greater than the calculated value."**
Transcribed Image Text:### Chi-Square Analysis in Plant Genetics #### Question: A researcher observes that when two heterozygous plants with red flowers are crossed, the resulting offspring include plants with red, white, or pink flowers. The researcher proposes the null hypothesis that flower color is the result of independent assortment and incomplete dominance. The researcher calculates a chi-square value of 7.3. Assuming two degrees of freedom, which of the following is the correct interpretation of the chi-square analysis, using a p-value of 0.05? 1. The null hypothesis should be rejected because the critical value is less than the calculated value. 2. The null hypothesis should not be rejected because the critical value is greater than the calculated value. 3. The null hypothesis should be rejected because the critical value is greater than the calculated value. **(Correct Answer)** 4. The null hypothesis should not be rejected because the critical value is less than the calculated value. #### Explanation: When performing a chi-square analysis, the researcher compares the calculated chi-square value to the critical value from the chi-square distribution table for the given degrees of freedom and p-value. In this scenario: - Calculated chi-square value: 7.3 - Degrees of freedom: 2 - p-value: 0.05 For two degrees of freedom and a p-value of 0.05, the critical value from the chi-square distribution table is approximately 5.99. Since the calculated chi-square value (7.3) is greater than the critical value (5.99), we reject the null hypothesis. Therefore, the correct interpretation is: **"The null hypothesis should be rejected because the critical value is greater than the calculated value."**
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