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Consider a screening tool comprised of a series of questions designed to assess whether patients exhibit symptoms of depression. Each participant completes the questions and

Consider a screening tool comprised of a series of questions designed to assess whether patients exhibit symptoms of depression. Each participant completes the questions and the scores are summed to produce a total score. Patients are then classified as at low, moderate, or high risk for depression based on their total scores. In the study, each patient completes the screening survey and then undergoes a psychiatric examination. Based on the psychiatric examination, patients are classified as clinically depressed or not. The following table summarizes the results of the study:

Risk for Depression

Clinical Assessment

Low

Moderate

High

Total Score

Not Depressed

522

127

39

688

Depressed

28

18

11

57

Total

550

145

50

745

Is the clinical assessment of depression statistically independent of the patient's risk for depression based on the screening tool? Use empirical evidence to support your claim.

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