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In an experiment, two different species of fruit trees were crossbred. The resulting fruit from this crossbreeding experiment were classified by color of meat of the fruit and color of the skin of the fruit, into one of four groups, as shown in the table below. Fruit Type Resulting From Crossbreeding Number of Fruit Observed With These Colors I: Red meat with orange skin II: Red meat with yellow skin III: Yellow meat with orange skin IV: Yellow meat with yellow skin 65 37 24 24 A botanist expected that the ratio of 5:2:2:1 for the color types I: II: III: IV, respectively, would result from this crossbreeding experiment. Using the data above, a x² value of approximately 9.567 was computed. Are the observed results inconsistent with the expected ratio at the 1 percent level of significance? A) Yes, because the computed x value is greater than the critical value. B) Yes, because the computed x' value is less than the critical value. C) No, because the computed z' value is less than the critical value. D) No, because the computed x' value is greater than the critical value. E) It cannot be determined because some of the expected counts are not large enough to use the x' test.

In an experiment, two different species of fruit trees were crossbred. The resulting fruit from this crossbreeding experiment were classified by color of meat of the fruit and color of the skin of the fruit, into one of four groups, as shown in the table below. Fruit Type Resulting From Crossbreeding Number of Fruit Observed With These Colors I: Red meat with orange skin II: Red meat with yellow skin III: Yellow meat with orange skin IV: Yellow meat with yellow skin 65 37 24 24 A botanist expected that the ratio of 5:2:2:1 for the color types I: II: III: IV, respectively, would result from this crossbreeding experiment. Using the data above, a x² value of approximately 9.567 was computed. Are the observed results inconsistent with the expected ratio at the 1 percent level of significance? A) Yes, because the computed x value is greater than the critical value. B) Yes, because the computed x' value is less than the critical value. C) No, because the computed z' value is less than the critical value. D) No, because the computed x' value is greater than the critical value. E) It cannot be determined because some of the expected counts are not large enough to use the x' test.

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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In an experiment, two different species of fruit trees were crossbred. The resulting fruit from this crossbreeding experiment were classified by color of meat of the fruit and color of the skin of the fruit, into one of four groups, as shown in the table below. Number of Fruit Observed Fruit Type Resulting From Crossbreeding With These Colors I: Red meat with orange skin II: Red meat with yellow skin III: Yellow meat with orange skin IV: Yellow meat with yellow skin 65 37 24 24 A botanist expected that the ratio of 5:2:2:1 for the color types I: II: III: IV, respectively, would result from this crossbreeding experiment. Using the data above, a x value of approximately 9.567 was computed. Are the observed results inconsistent with the expected ratio at the 1 percent level of significance? A) Yes, because the computed 7 value is greater than the critical value. B) Yes, because the computed 7 value is less than the critical value. C) No, because the computed x' value is less than the critical value. D) No, because the computed x' value is greater than the critical value. E) It cannot be determined because some of the expected counts are not large enough to use the x² test.
Transcribed Image Text:In an experiment, two different species of fruit trees were crossbred. The resulting fruit from this crossbreeding experiment were classified by color of meat of the fruit and color of the skin of the fruit, into one of four groups, as shown in the table below. Number of Fruit Observed Fruit Type Resulting From Crossbreeding With These Colors I: Red meat with orange skin II: Red meat with yellow skin III: Yellow meat with orange skin IV: Yellow meat with yellow skin 65 37 24 24 A botanist expected that the ratio of 5:2:2:1 for the color types I: II: III: IV, respectively, would result from this crossbreeding experiment. Using the data above, a x value of approximately 9.567 was computed. Are the observed results inconsistent with the expected ratio at the 1 percent level of significance? A) Yes, because the computed 7 value is greater than the critical value. B) Yes, because the computed 7 value is less than the critical value. C) No, because the computed x' value is less than the critical value. D) No, because the computed x' value is greater than the critical value. E) It cannot be determined because some of the expected counts are not large enough to use the x² test.
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