Dead spot in new brake light switch?

2004 ford Taurus I just put a new switch in and it is doing the same thing. Lightly pressing on pedal doesn't turn on lights. They turn on after quarter to half way down. Any help is appreciated.

It sounds like there's too much space between the switch and the contact point on the pedal. See if there's an adjuster screw or shim for the switch, or maybe a missing spacer on the pedal where the two contact each other.