A screening program for colorectal cancer detects 40 true positives and 10 false negatives per 1,000 patients tested. The disease prevalence in the population is 5%. Using Bayes' theorem, which value BEST characterizes the post-test probability of disease given a negative result?
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A
Approximately 0.5%, making a negative result highly reassuring
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B
Approximately 1.1%, meaning roughly 1 in 91 negative tests harbors disease
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C
Approximately 5%, unchanged from pre-test probability
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D
Approximately 10%, because false negatives dominate the negative predictive value