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,...


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<br>values are n = 26, Ex, = 1615, E(x, - x) = 3756.96, Ey, = 281.9, E(y, - v) = 465.34, and Exy, = 16,720.<br>(a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.)<br>(b) Test H: p = -0.5 versus H: p < -0.5 at level 0.05.<br>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.)<br>z =<br>P-value =<br>State the conclusion in the problem context.<br>O Reject Ho. There is evidence that p < -0.5.<br>O Fail to reject Ho: There is evidence that p < -0.5.<br>O Fail to reject H. There is no evidence that p < -0.5.<br>O Reject H.. There is no evidence that p < -0.5.<br>(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?<br>(Round your answer to three decimal places.)<br>(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<br>to three decimal places.)<br>

Extracted 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, Ex, = 1615, E(x, - x) = 3756.96, Ey, = 281.9, E(y, - v) = 465.34, and Exy, = 16,720. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test H: p = -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.="" o="" reject="" ho.="" there="" is="" evidence="" that="" p="">< -0.5.="" o="" fail="" to="" reject="" ho:="" there="" is="" evidence="" that="" p="">< -0.5.="" o="" fail="" to="" reject="" h.="" there="" is="" no="" evidence="" that="" p="">< -0.5.="" o="" reject="" h..="" 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="">

Jun 10, 2022
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