Is there a particular acid reflux drug that is more effective? To answer this question, we will use a random sample of patients suffering from acid reflux and randomly place them in three groups. One group will take Prilosec, one group will take Nexium, and one group will take Zantac. We will perform a hypothesis test for homogeneity, looking at the proportion of patients from each group whose acid reflux improves after taking the drug (results shown in the table below). Test at the a = 0.01 level of significance.

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Is there a particular acid reflux drug that is more effective? To
answer this question, we will use a random sample of patients
suffering from acid reflux and randomly place them in three
groups. One group will take Prilosec, one group will take
Nexium, and one group will take Zantac. We will perform a
hypothesis test for homogeneity, looking at the proportion of
patients from each group whose acid reflux improves after
taking the drug (results shown in the table below). Test at the
a = 0.01 level of significance.
Which would be correct hypotheses for this test?
O Ho: The three proportions are different; H,: The three
proportions are the same
O Ho: P1 = P2 = P3, H1:at least one proportion is different than the
others
| Ho : µ1 = H2 = µ3; H1: 41 # H2 # H3
| Ho:P1 = P2 = P3 ; H1:P1 # P2 + P3
Sample data:
Condition Improved
Condition Not Improved
Prilosec
22
18
Nexium
43
20
Zantac
37
18
Test Statistic (2 decimal places):
Give the P-value (4 decimal places, if less than 0.001 answer 0):
Which is the correct result:
O Do not Reject the Null Hypothesis
O Reject the Null Hypothesis
Which would be the appropriate conclusion?
O There is sufficient evidence to suggest that one of the drugs
is more effective
OThere is not enough evidence to suggest that one of the
drugs is more effective than the others
Transcribed Image Text:Is there a particular acid reflux drug that is more effective? To answer this question, we will use a random sample of patients suffering from acid reflux and randomly place them in three groups. One group will take Prilosec, one group will take Nexium, and one group will take Zantac. We will perform a hypothesis test for homogeneity, looking at the proportion of patients from each group whose acid reflux improves after taking the drug (results shown in the table below). Test at the a = 0.01 level of significance. Which would be correct hypotheses for this test? O Ho: The three proportions are different; H,: The three proportions are the same O Ho: P1 = P2 = P3, H1:at least one proportion is different than the others | Ho : µ1 = H2 = µ3; H1: 41 # H2 # H3 | Ho:P1 = P2 = P3 ; H1:P1 # P2 + P3 Sample data: Condition Improved Condition Not Improved Prilosec 22 18 Nexium 43 20 Zantac 37 18 Test Statistic (2 decimal places): Give the P-value (4 decimal places, if less than 0.001 answer 0): Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is sufficient evidence to suggest that one of the drugs is more effective OThere is not enough evidence to suggest that one of the drugs is more effective than the others
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