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.

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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.
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.
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Null and alternative hypothesis:

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Correct answer is option (3)

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The sample proportions are,

Statistics homework question answer, step 1, image 3

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