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A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Σx, = 1612, Σ(x, - x)² = 3756.96, Σy, = 281.9, Σ(y, - y)² = 465.34, and Ex,y,= 16,745. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Hop=-0.5 versus H: p< -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. ◇ Reject Ho. There is no evidence that p < -0.5. ○ Fail to reject Ho. There is evidence that p < -0.5. Reject Ho. There is evidence that p < -0.5. Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.)

A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Σx, = 1612, Σ(x, - x)² = 3756.96, Σy, = 281.9, Σ(y, - y)² = 465.34, and Ex,y,= 16,745. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Hop=-0.5 versus H: p< -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. ◇ Reject Ho. There is no evidence that p < -0.5. ○ Fail to reject Ho. There is evidence that p < -0.5. Reject Ho. There is evidence that p < -0.5. Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.)

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 32P
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A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Σx, = 1612, Σ(x, - x)² = 3756.96, Σy, = 281.9, Σ(y, - y)² = 465.34, and Ex,y,= 16,745. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Hop=-0.5 versus H: p< -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. ◇ Reject Ho. There is no evidence that p < -0.5. ○ Fail to reject Ho. There is evidence that p < -0.5. Reject Ho. There is evidence that p < -0.5. Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.)
Transcribed Image Text:A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Σx, = 1612, Σ(x, - x)² = 3756.96, Σy, = 281.9, Σ(y, - y)² = 465.34, and Ex,y,= 16,745. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Hop=-0.5 versus H: p< -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. ◇ Reject Ho. There is no evidence that p < -0.5. ○ Fail to reject Ho. There is evidence that p < -0.5. Reject Ho. There is evidence that p < -0.5. Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.)
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