2004 Ford F-150 battery change

Do the light dim when you try to crank it?

There is a tsb on this:

ISSUE
Some vehicles may exhibit a no crank condition due to an open circuit in the starter relay to starter motor circuit at the starter motor connection.

ACTION
Follow the Service Procedure steps to correct the condition.

A new starter terminal wiring pigtail kit is released eliminating the need to replace the entire harness for the terminal connection.

NOTE TERMINAL KIT ONLY SERVICES THE STARTER RELAY TO STARTER MOTOR CIRCUIT. THE KIT DOES NOT SERVICE STARTER MOTOR BATTERY POWER CIRCUIT.

Refer to instruction sheet contained in Wiring Pigtail Kit for wiring harness service procedure.
Part #6u2z-14s411-na

Get a look at the connection at the starter for dirty or poor connection.