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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Twenty years ago, 52% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 281 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a= 0.1 level of significance. C... Because npo (1-Po) 4 = 10, the sample size is 5% of the population size, and the sample ▼satisfied. the requirements for testing the hypothesis (Round to one decimal place as needed.). Clear all Help me solve this Get more help . H Type here to search a ? 3 AS E 4 View an example O Bi R V 5 T G 6 B a H N 8 S a hp M 9 O P Check answer 12:55 PM ^ 6/18/2022 94°F Mostly sunny
The “promotions manager” of a large cosmetics manufacturer wanted to investigate user acceptance with a new formulation of their popular female facial cream. She organised for a sample of 5,000 users of the new formulation to be selected and sought their feedback on whether they were satisfied with its effects or not. Of the 2800 responses gained, 2,100 indicated that they were satisfied with the new formulation. i. State the name and the value of the statistic that is the best estimate for the proportion of all potential cream users that are satisfied
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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.