Suppose you are interested in investigating the association between retirement status and heart disease. One concern might be that an older person is more likely to be retired and also more likely to have heart disease. In one study, therefore, 127 victims of cardiac arrest were matched on a number of characteristics that included age with 127 healthy control subjects. This assures that members of each pair are the same age and differ on whether they have had a cardiac arrest. Retirement status was then ascertained for each subject. The table below contains the data for the paired subjects. Test whether there is an association between retirement status and cardiac arrest. Use 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. Cardiac Arrest Healthy Retired Not Retired Total Retired 27 12 39 Not Retired 20 68 88 Total 47 80 127
Suppose you are interested in investigating the association between retirement status and heart disease. One concern might be that an older person is more likely to be retired and also more likely to have heart disease. In one study, therefore, 127 victims of cardiac arrest were matched on a number of characteristics that included age with 127 healthy control subjects. This assures that members of each pair are the same age and differ on whether they have had a cardiac arrest. Retirement status was then ascertained for each subject. The table below contains the data for the paired subjects. Test whether there is an association between retirement status and cardiac arrest. Use 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.
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|
Cardiac Arrest
|
|
|
Healthy
|
Retired
|
Not Retired
|
Total
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Retired
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27
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12
|
39
|
|
Not Retired
|
20
|
68
|
88
|
|
Total
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47
|
80
|
127
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