a. What is the test statistic and its distribution for the hypothesis test stated in the preamble?X¡ – X2 – (µ1 - H2)O TTt1463Vn2O Z =Z ~ N (0, 1)P(1–P)P(1-P)n1n2P - P2 – (P1 – P2)|Z - N (0,1)P(1–P)P,(1–P.)n2P - PO ZZ ~ N (0, 1)p(1-p) 2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen andacetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced anadverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adversereaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want toanswer the following questions.i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when takingibuprofen 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:Valuex1103.000085.0000733.0000732.00000.14050.11610.12831.39610.0813x2n1n2p.hat.1p. hat.2pooled.p.hatp.value

For sample 1, we have that the sample size is N1= 733 the number of favourable cases is X1= 103, so…

Answered: i) Test, at the 3% level of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 16.3 million out of the 312.7 million Americans suffer from sleep apnea, or approximately 5.2%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%, a simple random sample of 380380 commercial truck drivers is examined by a medical expert, who concludes that 29 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%? Use a 0.01 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test.…

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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.