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A researcher is doing a study to understand the relationship between different c

ID: 3269424 • Letter: A

Question

A researcher is doing a study to understand the relationship between different cardiovascular risk factors such as diabeyes, hypertension, and smoking. She wants to explore whether having hypertension is associated with diabetes or smoking. She runs two separate statistical tests, and gets the following output.

Based on this output, select the correct statement about the relationships between hypertension and diabetes and hypertension and smoking? Please select the answer and give explaination. A. being hypertensive is associated with diabetes but not smoking B. being hypertensive is associated with smoking but not diabetes   C. Being hypertensive is associated with smoking and diabetes D. being hypertensive is associated with smoking or diabetes.

                                                                           Diabetes

Hypertension                                       No                               Yes                    Totals

No                                                       506                                  7                       513

Yes                                                       74                                  20                       94

Total                                                    580                                 27                      607

Pearson chi2(1) = 262.04 p-value <0.0001

                                                                                       Smoker

Hypertension                                     No                                     Yes                      Totals

No                                                      345                                    162                          507

Yes                                                      57                                     36                           93

Total                                                  402                                     198                        600

Pearson Chi2(1)= 3.8191 p-value 0.431

Explanation / Answer

Ans:

H0:Diabetes and hypertension are independent.

H1:Diabetes and hypertension are not independent.

As,p-value<0.0001 i.e less than any significance level,So we reject null hypothesis.

We have sufficient evidence to suggest that diabetes and hypertension are not independent(or are associated).

H0:Smoking and hypertension are independent.

H1:Smoking and hypertension are not independent.

As,p-value>significance level say 0.1,We fail to reject null hypothesis.

We have sufficient evidence to suggest that smoking and hypertension are independent(or are not associated).

Hence,the Option A is correct (being hypertensive is associated with diabetes but not smoking )

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