The research questions is the following: To what extent does follow-up time afte
ID: 3143421 • Letter: T
Question
The research questions is the following:
To what extent does follow-up time after hospitalization influence survival rates of MI patients?
Interpret the following data:
Two sample T hypothesis test:
1 : Mean of short follow-up status
2 : Mean of long follow-up status
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Std. Err.
DF
T-Stat
P-value
1 - 2
0.11922923
0.10048434
96.47371
1.1865453
0.2383
Difference
Sample Diff.
Std. Err.
DF
T-Stat
P-value
1 - 2
0.11922923
0.10048434
96.47371
1.1865453
0.2383
Explanation / Answer
p-value is the probability of null hypothesis being true.
in 23% instances, both short follow up and long follow up have same survival rate which follow up doesn't depend on survival rate of MI patients on 23% instances.
while on 77% instances, follow up does influence survival rate.
On an average, short follow up have 11.92% better survival rate compared to long follow up.
(the results have a standard error of ..1004)
which means the difference of survival rate in short and long follow up can vary from
Difference in survival rate of short and long follow up = (11.92% - 10.04%) to (11.92% + 10.04%)
Difference in survival rate of short and long follow up = (1.88% - 21.96%)
Difference in survival rate of short and long follow up would fall into this bracket for 95% of the instances. (if the test was done at significance level of 0.05)