Is a Two-Sided t-Test Appropriate for Comparing Doctor Care Hours?

Click For Summary
The discussion focuses on determining the appropriate statistical test for comparing the mean hours of patient care provided by conventional versus alternative medical practitioners. The question posed is whether the mean time spent by conventional doctors exceeds that of alternative doctors, with a significance level set at 10%. Various hypothesis tests are considered, including two-sided and one-sided Z-tests and t-tests, depending on whether the standard deviation is known or unknown. Emphasis is placed on understanding the theoretical foundations of these tests to ensure accurate application. A solid grasp of the underlying theory is crucial for successful analysis.
thedeath
Messages
2
Reaction score
0
Need to know the test that will be performed on the following question:

The data comprises hours devoted to patient care per week for practitioners in conventional and alternative medical practices.

Question:
Can we infer that the mean amount of time devoted to patient care per week by doctors using conventional methods exceeds that of doctors using alternative methods? Test at the 10% level of significance.

What test will be performed:
Hypothesis Test for m (s known)--Two-sided Z-Test
Hypothesis Test for m (s known)--One-sided Z-Test
Hypothesis Test for m (s unknown)--Two-sided t-Test
Hypothesis Test for m (s unknown)--One-sided t-Test
Hypothesis Test for p--One-sided Z-Test
 
Physics news on Phys.org
This is plainly a theory question, to test your knowledge of the theory. You should therefore refer to your reading materials and try to gain a good understanding of the subject.

If you short-cut through the theory, that will probably hurt you in the end.
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

Similar threads

Replies
20
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
12K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 19 ·
Replies
19
Views
3K
Replies
6
Views
4K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K