Assignment Task 1:
A randomized trial is designed to evaluate the effectiveness of a newly developed pain reliever designed to reduce pain in patients following joint replacement surgery. The trial compares the new pain reliever to the pain reliever currently in use (called the standard of care). A total of 100 patients undergoing joint replacement surgery agreed to participate in the trial. Patients were randomly assigned to receive either the new pain reliever or the standard pain reliever following surgery and were blind to the treatment assignment. Before receiving the assigned treatment, patients were asked to rate their pain on a scale of 0-10 with higher scores indicative of more pain. Each patient was then given the assigned treatment and after 30 minutes was again asked to rate their pain on the same scale. The primary outcome was a reduction in pain of 3 or more scale points (defined by clinicians as a clinically meaningful reduction). The following data were observed in the trial. Need Assignment Help?
| Treatment Group |
n |
Number with Reduction of 3+ Points |
Proportion with Reduction of 3+ Points |
| New Pain Reliever |
50 |
23 |
0.46 |
| Standard Pain Reliever |
50 |
11 |
0.22 |
Hint 1: Tests with Two Independent Samples, Dichotomous Outcome.
Hint 2: Remember the Confidence Interval z score table.
Requirements:
- 1-Page listing the hypotheses, test statistic used, standard z score, and your conclusion based on your calculations.
- It should include at least 2 academic sources, formatted and cited in APA within the past 5 years
- Can't Be More Than 10% Plagiarism or AI Text Please
Assignment Task 2:
In a prior example we evaluated data from a survey of university graduates which assessed, among other things, how frequently they exercised. The survey was completed by 470 graduates. In the prior example we used the χ2 goodness-of-fit test to assess whether there was a shift in the distribution of responses to the exercise question following the implementation of a health promotion campaign on campus. We specifically considered one sample (all students) and compared the observed distribution to the distribution of responses the prior year (a historical control). Suppose we now wish to assess whether there is a relationship between exercise on campus and students' living arrangements. As part of the same survey, graduates were asked where they lived their senior year. The response options were dormitory, on-campus apartment, off-campus apartment, and at home (i.e., commuted to and from the university). The data are shown below.
|
No Regular Exercise |
Sporadic Exercise |
Regular Exercise |
Total |
| Dormitory |
32 |
30 |
28 |
90 |
| On-Campus Apartment |
74 |
64 |
42 |
180 |
| Off-Campus Apartment |
110 |
25 |
15 |
150 |
| At Home |
39 |
6 |
5 |
50 |
| Total |
255 |
125 |
90 |
470 |
Based on the data, is there a relationship between exercise and a student's living arrangement? Do you think where a person lives affect their exercise status? Here we have four independent comparison groups (living arrangement) and a discrete (ordinal) outcome variable with three response options. We specifically want to test whether living arrangements and exercise are independent.
Requirements:
- 1 Page
- It should include at least 2 academic sources, formatted and cited in APA within the past 5 years
- Can't Be More Than 10% Plagiarism OR AI Text Please