I want to demonstrate non-inferiority for Group A compared to Group B. The difference (A-B) between the two groups is -4.1, and the 95% confidence interval for the group difference is from -12.1 to 3.8. Since my non-inferiority margin was -15, I concluded that A is non-inferior to B. My question here is, if the lower margin of the 95% confidence interval is not less than -15 but the upper margin is less than 0, how should I draw a conclusion? For instance, if the 95% confidence interval is from -12.1 to -1.5, can I still conclude non-inferiority?