Why doesn't speedometer work?

Question edited for clarity and make some real sentences.
Question moved to model category.

See the first video, but by the sounds of it, you need an auto electrician with a pro grade scan tool computer to diagnose these faults electronically. ABS, Speedometer and Transmission Solenoids.

https://www.google.com/search?q=1999+Ford+F-250+4x4.+The+ABS+light+is+on%2C+and+the+speedometer+doesn%27t+work

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You replaced what speed sensor ? Do you mean the VSS - vehicle speed sensor ? Wheel speed sensors for the ABS - anti-lock brakes system are sometimes used for the speedometer info on some vehicle makes , but not yours . Where on the vehicle did you replace the speed sensor ? Could be the speedometer is bad .

You are correct in thinking if the speed sensor fails the check engine light should be on, and you should experience problems with the transmission.
It sounds like just the speedo has failed.

The speedometer or the speed sensor are broken. Buy new parts here:
Speedometer:
http://www.woodfins.com/Parts/2008-TOYOTA-YARIS-83-R119-273-Speedometer_Instrument_Cluster.html

electric speed sensor no side of trans one 10 mm size bolt holds in place. check fuses first, then ck speed sensor.

vehicle speed sensor on the transmission, it fails and the speedometer will not work, it could affect shifting because the computer does not know the speed you are traveling

Under the battery tray is a common ground point. It'll have several black wires going to a connector that is bolted to the frame. Remove this bolt, clean the area up, and bolt it back in place. If the speedometer doesn't work after this, then you probably need a vehicle speed sensor VSS.

Did you change the Vehicle speed sensor or the wheel speed sensor?? The vehicle speed sensor is located on the side of the transmission..And its for the speedometer and shift pattern..If all good depending on what year,some have to be reprogrammed

unfortunately it doesn't, it runs off of a different speed sensor.. these vehicles are known for the speedo going out their is a defect in the instrument cluster, and you will have to have the entire unit replaced. while working at a gm dealer, I replaced hundreds of them..

wrong part or somethings disconnected