Characters
I think my testimony swayed them.
— Elaine ‧ Ally McBeal
Behind the line May contain spoilers.
Our reading
An editorial interpretation.
The speaker believes their testimony influenced the people who heard it, giving their account a role in changing minds. The phrase I think makes that influence an assessment rather than a certainty. The emphasis falls on the persuasive effect of speaking, rather than simply having supplied information.
Context reviewed