A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Suppose that patients were recruited from 3 different clinical sites. Use the following data to test if hypertension and clinical site are independent. Run the test at a 5% level of significance. 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.  Site 1Site 2Site 3Hypertensive101412Not Hypertensive685640

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Asked Nov 13, 2019
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A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Suppose that patients were recruited from 3 different clinical sites. Use the following data to test if hypertension and clinical site are independent. Run the test at a 5% level of significance. 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.
 

 
Site 1
Site 2
Site 3
Hypertensive
10
14
12
Not Hypertensive
68
56
40

 

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Expert Answer

Step 1

1) Null and alternative hypotheses:

The null and alternative hypotheses to test whether the hypertension and clinical site are independent are as follows:

H0: The hypertension and clinical site are independent.

a: The hypertension and clinical site are not independent.

Step 2

2) Appropriate test:

The appropriate test for the given scenario is chi-square test for independence.

Step 3

3) Decision rule:

If p-value ≤ significance level, reject the null hypothesis.

If p-value ...

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