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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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")
Transcribed Image Text: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

for sample 1 ( medication A )x1=20n1=200p1=x1n1=20200=0.1 for sample 2 ( medication B )x2=12n2=200p2=x2n2=12200=0.06

level of significance= 0.01

 

z critical value at 0.01 level of significance=2.576

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