So much of a theory, let’s try this to see if it really works. Here is an experiment with two resister with a multumeter.
The first experiment shows two same size resister (10kohm) dividing the provided voltage (5V) in half. The multimeter is set as V– for reading direct current voltage. The probes are connected to 0V (GND) of the power supply and the middle point where two resisters meet. You can see 2.44 in the multilmeter’s display. (almost 2.5V.. maybe the resister had some range) It divides the 5V in 50/50 ratio.

In the second experiment, I changed one of the resister to 47kohm. So now the ratio of two resisters are 10/47. So, I should read 5V x 10/(10+47) = 0.877 V in theory. As you can see in multimeter, it is 0.85V it measures. Not bad!

Now, if you change one of the resister to our resistive textile sensor, it works the same. The felt sensor I tested here has about 8kohm – 100kohm resistance range. You can see how the voltage that gets divided in the middle changes as I manipulate the felt. Now, if you connect the point where multimeter is reading to the Arduino Analog input, we can read how much voltage comes in.

Here is a diagram of how the resistive sensor can be connected with Arduino.

The diagram shows the resister on the GND (0V) side switched with the resistive sensor. You can also connect as the supply voltage (5V) side resister as sensor and keep the GND side resister as fixed resister.

Internal Pull Up resister for Analog inputs
In Arduino, it is possible to set “internal pull-up resisters” from the code. The internal pull-up resister size is 20k ohm. When this is set, it is the same as having your selected Analog pin connected to 20k ohm resister that connects to 5V (supply voltage). It is only possible to set as “pull-up” (connected to 5V) and not “pull-down” (connected to ground).
To set these you’ll need to include the following line of code in the setup function of your Arduino sketch. (the example below is for A0 pin)

pinMode(A0, INPUT_PULLUP);