First post - newbie here.

I work in medicine and currently working on a project that involves comparing the outcomes of two groups of patients which have received different types of care.

I am hypothesizing that there is no difference between the two groups when it comes to certain measured outcomes (e.g. death, complications, etc).

My question is: how do I go about statistically showing this? I know that a student's t-test would not be the right test because it attempts to disprove the null hypothesis, which in this case I am trying to prove. How would the results be presented (p value? CI? none of the above?)

Any help is appreciated!

-Manaf