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b. What is the value of the observed test statistic associated with the hypothesis test? O z = 0.1283 O z = 0.0813 O t= 2.9400 = Z = 1.3961

b. What is the value of the observed test statistic associated with the hypothesis test? O z = 0.1283 O z = 0.0813 O t= 2.9400 = Z = 1.3961

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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b. What is the value of the observed test statistic associated with the hypothesis test? O z = = 0.1283 O z = = 0.0813 O t= 2.9400 O z = 1.3961
Transcribed Image Text:b. What is the value of the observed test statistic associated with the hypothesis test? O z = = 0.1283 O z = = 0.0813 O t= 2.9400 O z = 1.3961
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000 732.0000 0.1405 0.1161 0.1283 1.3961 0.0813 x2 n1 n2 p.hat.1 p. hat.2 pooled.p.hat p.value
Transcribed Image Text:2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000 732.0000 0.1405 0.1161 0.1283 1.3961 0.0813 x2 n1 n2 p.hat.1 p. hat.2 pooled.p.hat p.value
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