Final answer:
The statement is true; in a 2's complement integer representation system, there is one more negative number because the sign bit allows for an extra negative number in the range.
Step-by-step explanation:
The statement "A 2's complement integer representation includes more negative numbers than it does positive ones." is True. In 2's complement integer representation, both positive and negative numbers can be represented. However, there is one more negative number because the highest bit in a signed integer is reserved for the sign, where '0' usually represents positive numbers and '1' represents negative numbers. For example, an 8-bit 2's complement representation can range from -128 to 127, which illustrates that there's one extra negative number (-128) since the positive range ends at 127.