Question

Recall the experiment comparing patients 4 weeks after surgery for carpal

tunnel syndrome. The patients who had endoscopic surgery demonstrated

a mean pinch strength of 9.1 kg compared to 7.6 kg for the open- incision

patients.

4. What hypotheses would you test?

5. The P-value of the test was less than 0.05. State a brief conclusion.

Answer 1

4. H0: u1= u2 Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Explanation:

4. The null and alternate hypotheses are

H0: u1= u2 i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2 i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0 i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0 i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05 tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.