Final answer:
Pulse oximetry is the noninvasive test used to monitor the hemoglobin's oxygen saturation in the tissues, with normal readings ranging from 95-100 percent.
Step-by-step explanation:
The noninvasive method used to monitor the percentage of hemoglobin carrying oxygen throughout the tissues is C. Pulse oximetry. This device, typically attached to the fingertip, uses two wavelengths of light to measure the saturation of hemoglobin with oxygen. Normal pulse oximeter readings range from 95-100 percent. Lower percentages may indicate hypoxemia or low blood oxygen levels, reflecting the body's oxygen status. Unlike more invasive tests such as arterial blood gas, which involve blood sample collection, pulse oximetry provides a quick and painless assessment of oxygen saturation (percent sat).