A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.
A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219
adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random
sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see
if the proportion of people who still had hives after medicine A is different than the proportion of people
who still had hives after medicine B. Use a 0.01 level of significance.
The correct hypotheses are:
O Ho:PA < PB
НА:РА > Рв(claim)
Ο Η: pA Σ ΡΒ
На: РА < Рв(claim)
O Ho:PA = PB
HA:PA + PB(Cclaim)
Since the level of significance is 0.01 the critical value is 2.576 and -2.576
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that the proportion of people who still had hives after
medicine A is different than the proportion of people who still had hives after medicine B.
O There is not enough evidence to reject the claim that the proportion of people who still had hives
after medicine A is different than the proportion of people who still had hives after medicine B.
O There is enough evidence to support the claim that the proportion of people who still had hives after
medicine A is different than the proportion of people who still had hives after medicine B.
O There is not enough evidence to support the claim that the proportion of people who still had hives
after medicine A is different than the proportion of people who still had hives after medicine B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F635fc7d1-4125-4a99-970f-fc3f5300d520%2F824d0ed8-7cec-44bb-aff7-719b1cf2c297%2F9dj1arv_processed.png&w=3840&q=75)
Transcribed Image Text:A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219
adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random
sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see
if the proportion of people who still had hives after medicine A is different than the proportion of people
who still had hives after medicine B. Use a 0.01 level of significance.
The correct hypotheses are:
O Ho:PA < PB
НА:РА > Рв(claim)
Ο Η: pA Σ ΡΒ
На: РА < Рв(claim)
O Ho:PA = PB
HA:PA + PB(Cclaim)
Since the level of significance is 0.01 the critical value is 2.576 and -2.576
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that the proportion of people who still had hives after
medicine A is different than the proportion of people who still had hives after medicine B.
O There is not enough evidence to reject the claim that the proportion of people who still had hives
after medicine A is different than the proportion of people who still had hives after medicine B.
O There is enough evidence to support the claim that the proportion of people who still had hives after
medicine A is different than the proportion of people who still had hives after medicine B.
O There is not enough evidence to support the claim that the proportion of people who still had hives
after medicine A is different than the proportion of people who still had hives after medicine B.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Null and alternative hypothesis:
Correct answer is option (3)
The sample proportions are,
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