Question

Researchers were interested in whether patients with a history of angina are more likely to take...

Researchers were interested in whether patients with a history of angina are more likely to take anticoagulant drugs. (5 points)

 angina2 * Taking anticoagulant drugs Crosstabulation Taking anticoagulant drugs Total Yes No Angina Yes Count 311 25 336 Expected Count 177.3 158.7 336.0 Std. Residual 10.0 -10.6 No Count 242 470 712 Expected Count 375.7 336.3 712.0 Std. Residual -6.9 7.3 Total Count 553 495 1048 Expected Count 553.0 495.0 1048.0
 Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided) Pearson Chi-Square 314.204 1 .000 Continuity Correctionb 311.859 1 .000 Likelihood Ratio 358.893 1 .000 Fisher's Exact Test .000 .000 Linear-by-Linear Association 313.904 1 .000 N of Valid Cases 1048 Value 95% Confidence Interval Lower Upper Odds Ratio for angina2 (Yes / No) 24.160 15.623 37.363 For cohort Taking anticoagulant drugs = Yes 2.723 2.447 3.030 For cohort Taking anticoagulant drugs = No .113 .077 .165 N of Valid Cases 1048
1. Identify the null and alternate hypothesis.
2. Interpret test statistic and state conclusion based on original hypothesis. Assume alpha = .05
3. Interpret the odds ratio based on original research hypothesis.

Interpret the relative risk for those patients who take anticoagulant medications

Researchers were interested in whether patients with a history of angina are more likely to take anticoagulant drugs.

Identify the null and alternate hypothesis.

Ho: There is no association between history of angina and taking anticoagulant drugs

H1: There is an association between history of angina and taking anticoagulant drugs

Interpret test statistic and state conclusion based on original hypothesis. Assume alpha = .05

Calculated chi square 314.204 , P=0.000 which is < 0.05 level of significance. Ho is rejected. We conclude that there is significant association between history of angina and taking anticoagulant drugs

Interpret the odds ratio based on original research hypothesis.

Odds ratio =24.16

People with history of angina are taking anticoagulant drugs 24.16 times more compared to People with no history of angina.

Interpret the relative risk for those patients who take anticoagulant medications

relative risk = (311/553)/(25/495) = 11.14

The relative risk of taking anticoagulant medications is 11.14 times that of people with history of angina compared to no history of angina.