Question

# A woman is worried that she might have breast cancer. The standard test for breast cancer...

A woman is worried that she might have breast cancer. The standard test for breast cancer is mammography. From research she found online, she discovers the sensitivity for the mammography screening is 83% and the specificity is 96% . Her doctor has told her that one in 45 women in her forties will have breast cancer. Based on the sensitivity, specificity, and prevalence, determine the positive predictive value (PPV) for the mammography screening. Express your answer to three decimal places.

positive predictive value (PPV) =true posiitve/(false positive+true positive)

=(1/45)*0.83/((1/45)*0.83+(44/45)*(1-0.96))=0.320

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