Question

In a study at West Virginia University Hospital, researchers investigated smoking behavior of cancer patients to create a program to help patients stop smoking. They published the results in Smoking Behaviors Among Cancer Survivors (January 2018, Journal of Oncology Practice). In this study, the researchers sent a 22-item survey to 1395 cancer patients. They collected demographic information (age, sex, ethnicity, zip code, level of education), clinical and smoking history, and information about quitting smoking. Of the 1395 patients who were mailed surveys, 279 patients responded. For various reasons, researchers used only 251 of the completed surveys. 40 out of 142 female cancer patients reported being past smokers, and 60 out of 109 male cancer patients reported being past smokers. Calculate the difference between the corresponding sample proportions ^ p 1 − ^ p 2 (female minus male). Round the answer to 4 decimal places.

Answer 1

We have given for the example              
              
x1=40          
n1=142          
              
x2=60          
n2=109          
      
Estimate for sample proportion 1
              
Estimate for sample proportion 2

The difference between the corresponding sample proportions = 0.2817 -0.5505

=-0.2688

The difference between the corresponding sample proportions =-0.2688