Without Using WDS or equivalent

WARNING: This page is about a different car, the 2005 Mazda RX-8. However, it is still accessible from the selected car via links, so may be relevant.

CAUTION:

Shorting the wrong terminal of the check connector may cause malfunctions. Make sure to short only the specified terminal.

Ground the check connector terminal F/P using the jumper wire.
Remove the fuel filler cap.
Turn the ignition switch to the ON position and verify that the fuel pump can be heard operating.

Fig 1: Checking Connector Terminal F/P Using Jumper Wire Ground
Courtesy of MAZDA MOTORS CORP.
- If it cannot be verified, inspect for a voltage of 3.76-5.28 V on the fuel pump wiring harness-side connector terminal B.
  
  Fig 2: Identifying Fuel Pump Unit Wiring Harness-Side Connector Terminal
  Courtesy of MAZDA MOTORS CORP.
  - If it is within the specification, inspect the following.
    - Fuel pump continuity inspection
    - Wiring harness between fuel pump terminal D and GND
  - If not within the specification, inspect the following.
    - Fuel pump relay
    - Wiring harnesses, connectors between main relay, fuel pump relay, and check connector
    - Wiring harnesses, connectors between fuel pump relay, fuel pump resistor, and fuel pump
Voltage
1. 3.76-5.28 V
Disconnect the jumper wire.