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The choice of decreased heart rate as the response not associated with the sympathetic nervous system is accurate because the sympathetic nervous system is responsible for initiating the "fight-or-flight" response, which typically involves an increase in heart rate. When activated, this system prepares the body for heightened activity and stress response by increasing heart rate, enhancing blood flow to muscles, and optimizing the delivery of oxygen and nutrients throughout the body.

In contrast, the other options reflect typical sympathetic nervous system activity. Increased perspiration enhances temperature regulation and preparation for physical exertion. Glycogenolysis is the breakdown of glycogen to glucose, providing a quick source of energy during stressful situations. Increased respiratory rate supports heightened oxygen demand as the body gets ready to respond to a threat or challenge.

Thus, decreased heart rate contradicts the primary functions of the sympathetic nervous system, which aims to increase bodily functions and energy availability during stressful situations.