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In the hospital survey the was introduced in the video on surveys there was the

ID: 2945858 • Letter: I

Question

In the hospital survey the was introduced in the video on surveys there was the following statement about the patients’ personal issues: “Staff concern for your privacy”. 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 the computer output of an analysis of the mean responses 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 the staff concern for their privacy?

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 (0.0286, 0.3404). This implies that the mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” is smaller than the means response for patients who had a roommate. The patients who had a roommate had an average higher evaluation regarding staff concern for their privacy than patients who did not have a roommate. Two-Sample T-Test and Cl: 1, MATE Two-sample T for I1 MATE N Mean StDev SE Mean No336 4.640 0.561 0.031 Yes 112 4.455 0.770 0.073 Difference-mu (No) - mu (Yes) Estimate for difference: 0.1845 95% CI for difference : (0.0286, 0.3404)

Explanation / Answer

Result:

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 the staff concern for their privacy?

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 (0.0286, 0.3404). This implies that the mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” is smaller than the means response for patients who had a roommate. The patients who had a roommate had an average higher evaluation regarding staff concern for their privacy than patients who did not have a roommate.

Answer:

ii) 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 (0.0286, 0.3404). This implies that the mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” is larger than the means response for patients who had a roommate. The patients who had a roommate had an average lower evaluation regarding staff concern for their privacy than patients who did not have a roommate.

iii) 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 (0.0286, 0.3404). This implies that the mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” could be the same as the means response for patients who had a roommate. The evaluation of staff concern for privacy does not depend upon whether or not the patients have a roommate.

Note: mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” is 4.64 which is larger than the means response for patients who had a roommate, 4.455.

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 (0.0286, 0.3404). This implies that the mean response for the patients who did not have a roommate to the statement “Staff concern for your privacy” is smaller than the means response for patients who had a roommate. The patients who had a roommate had an average higher evaluation regarding staff concern for their privacy than patients who did not have a roommate.

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