If you want to test your backlight supply, and you have knowledge of how to use a voltmeter, you can test if there's voltage going to your leds.
(remember, risk of electric shock)
Open your rear cover. Then identify the wires that lead to your LEDs. Then use the voltmeter to test the voltage.
If there is no voltage present when the TV is on, it's the power supply. If there is voltage, it's the LED backlighting.