Two types of medication for hives are being tested to determine if there isa difference in the proportions of adult patient reactions. Twenty out of arandom sample of 200 adults given medication A still had hives 30minutes after taking the medication. Twelve out of another randomsample of 200 adults given medication B still had hives 30 minutes aftertaking the medication.Sample1: medication A, Sample2: medicationB(a) Find the 99% confidence interval for the difference in the proportionsof adult patient reactions. Round your answer to nearest ten-thousandth.Round confidence interval to the nearest ten-thousandth if necessary.(0.12456 would be entered as 0.1246)LowerUpper(b) Is there any difference in the proportions of adult patient reactions?. (enter "yes" or "no")If your answer is "yes", which proportion is greater?(enter "A" or "B", or if your answer is "no", enter "na")

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Description: Two types of medication for hives are being tested to determine if there isa difference in the proportions of adult patient reactions. Twenty out of arandom sample of 200 adults given medication A still had hives 30minutes after taking the medicatio

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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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Two types of medication for hives are being tested to determine if there is
a difference in the proportions of adult patient reactions. Twenty out of a
random sample of 200 adults given medication A still had hives 30
minutes after taking the medication. Twelve out of another random
sample of 200 adults given medication B still had hives 30 minutes after
taking the medication.
Sample1: medication A, Sample2: medicationB
(a) Find the 99% confidence interval for the difference in the proportions
of adult patient reactions. Round your answer to nearest ten-
thousandth.
Round confidence interval to the nearest ten-thousandth if necessary.
(0.12456 would be entered as 0.1246)
Lower
Upper
(b) Is there any difference in the proportions of adult patient reactions?
. (enter "yes" or "no")
If your answer is "yes", which proportion is greater?
(enter "A" or "B", or if your answer is "no", enter "na")

Expert Solution

Step 1

given information:

let us consider x : samples of medication for hives of adult patient reactions

$f o r s a m p l e 1 (m e d i c a t i o n A) x_{1} = 20 n_{1} = 200 p_{1} = \frac{x_{1}}{n_{1}} = \frac{20}{200} = 0.1 f o r s a m p l e 2 (m e d i c a t i o n B) x_{2} = 12 n_{2} = 200 p_{2} = \frac{x_{2}}{n_{2}} = \frac{12}{200} = 0.06$

level of significance= 0.01

z critical value at 0.01 level of significance=2.576

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