A researcher is studying two types of medication thatboth treat hives. 24 out of the random sample of 224adults given medication A still had hives 30 minutesafter taking the medication. 16 out of another randomsample of 287 adults given medication B still had hives30 minutes after taking the medication. Test to see ifthe proportion of people who still had hives aftermedicine A is less than the proportion of people whostill had hives after medicine B. Use a 0.10 level ofsignificance.The correct hypotheses are:Ho:PA < PBНА: РА > рв(claim)Ho :PA 2 PBHA:PAНА:РА < рВ(claim)• Ho:PA = PBHA:PA + PB(claim)Since the level of significance is 0.10 the critical value is -1.282The test statistic is:(round to 3 places)The p-value is:(round to 3 places)

Name: A researcher is studying two types of medication thatboth treat hives
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Description: A researcher is studying two types of medication thatboth treat hives. 24 out of the random sample of 224adults given medication A still had hives 30 minutesafter taking the medication. 16 out of another randomsample of 287 adults given medication B

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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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A researcher is studying two types of medication that
both treat hives. 24 out of the random sample of 224
adults given medication A still had hives 30 minutes
after taking the medication. 16 out of another random
sample of 287 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 less than the proportion of people who
still had hives after medicine B. Use a 0.10 level of
significance.
The correct hypotheses are:
Ho:PA < PB
НА: РА > рв(claim)
Ho :PA 2 PB
HA:PA
НА:РА < рВ(claim)
• Ho:PA = PB
HA:PA + PB(claim)
Since the level of significance is 0.10 the critical value is -1.282
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)

Expert Solution

Step 1

Find the probability that people given medication A and B still have hives using the formula:

Let us take the hypothesis:

The test statistic for the hypothesis testing is obtained using the formula:

The tabulated value is given by

Since calculated value of z-statistic < tabulated value, we accept null hypothesis (at 5% level of significance) and conclude that

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