What is the word to describe this?

When someone says something like.

He killed 50 people.

When it reality the person only killed 4.

Is the stretching the truth or...

There is a late night satirical tv show. It satirizes conservative personality-driven political pundit programs. I wanted to know if this show was reliable in it's facts or if it stretched the truth.

How would you say: I wanted to know if this show was reliable in it's facts or if it stretched the truth.

Thanks