Another response on the survey referred to in question 4 was the statement: “Res
ID: 2945861 • Letter: A
Question
Another response on the survey referred to in question 4 was the statement: “Response to concerns/complaints made during your stay”. The responses were 1 = very poor, 2 = poor, 3 = fair, 4 = good, and 5 = very good. The data from the survey respondents for the last month was analyzed. The respondents were stratified by whether or not they had a roommate. The following is computer output of an analysis of the mean responses for these for this statement between the group who did not have a roommate and the group who did have a roommate.
What is the 95% confidence interval for the difference in the population mean responses for these two groups. Interpret this confidence interval. Did having a roommate impact how patients felt about how their concerns or complaints were handled?
Choose the best answer from the following:
i) The 95% confidence interval for the difference in means of the patients who did not have a roommate and the patients who did have a roommate is (0.0212, 0.3880). This implies that the mean for the patients who did not have a roommate could be the same as the mean of patients who did have a roommate. Thus the average evaluation regarding how their concerns of complaints were handled does not depend upon whether or not the patient had a roommate. Two-Sample T-Test and Cl: 15, MATE Two-sample T for I5 StDev SE Mean No309 4.576 0.663 0.038 Yes 105 4.371 0.869 0.085 MATE N Mean Difference-mu (No) - mu (Yes) Estimate for difference: 0.2046 95% CI for difference: (0.0212, 0.3880)Explanation / Answer
The 95% confidence interval for the difference in means of the patients who did not have a roommate and the patients who did have a roommate is (0.0212, 0.3880). This implies that the mean for the patients who did not have a roommate is larger than the mean of patients who did have a roommate. Thus patients who did not have a roommate had an average higher evaluation regarding how their concerns of complaints were handled than patients who did have a roommate.
Option iii) is correct.