Final answer:
The most likely diagnostic study to be performed on the patient is a barium swallow.
Step-by-step explanation:
The nursing assessment provided some important clues about the patient's condition. The history of alcoholism, cigarette smoking, and hemoptysis (coughing up blood) are suggestive of underlying respiratory or digestive system issues.
In this case, the most likely diagnostic study to be performed on this patient is a barium swallow. A barium swallow is a radiographic examination in which the patient swallows a contrast material called barium. It helps visualize the structure and function of the esophagus and stomach, allowing doctors to identify any abnormalities, such as a blockage caused by the piece of steak that the patient choked on.
Other diagnostic studies, such as endoscopic biopsy, capsule endoscopy, and endoscopic ultrasonography, may also be considered depending on the patient's specific symptoms and medical history.