A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin…

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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, Ex₁ = 1618, Σ(x₁ – x)² = 3756.96,

ΣΥ; ¡= 281.9, Σ(y, – y)² = 465.34, and Ex,y; = 16,747.

(a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.)

(b) Test Ho: P = -0.5 versus H₂: 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.
Fail to reject Hō. There is no evidence that p < -0.5.
Reject H. There is no evidence that p < -0.5.
Fail to reject Ho. There is evidence that p < -0.5.
O Reject Ho. There is 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.)
Expert Answer:
Answer rating: 100% (QA)
To solve each part of this question we ll use the given summary statistics for x age and y ACBG level along with the formulas for the sample correlation coefficient hypothesis testing and the coeffici
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