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12. A researcher wants to determine the sensitivity of mammograms to determine how effective they are...

12. A researcher wants to determine the sensitivity of mammograms to determine how effective they are at diagnosing women who have breast cancer. Assume the researcher obtained the above results from a study, calculate and interpret the sensitivity of mammograms for detecting breast cancer. Frequency of Breast Cancer Cases Frequency of Non-Cancer Cases Frequency of Individuals Who Screened Positive 12 5 Frequency of Individuals Who Screened Negative 6 77

Math   Statistics-And-Probability   
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Answer #1

The given data can be summarized as below in the table.

Frequency of Breast Cancer Cases Frequency of Non-Cancer Cases Total
Frequency of Individuals Who Screened Positive 12 5 17
Frequency of Individuals Who Screened Negative 6 77 83
Total 18 82 100

Sensitivity is the probability that a test will indicate 'disease' among those with the disease.

Sensitivity of mammograms for detecting breast cancer = (Number of Individuals Who Screened Positive and have Breast Cancer / Number of Individuals with Breast Cancer) x 100

= (12/18) * 100

= 66.67%

Interpretation: For all  Individuals with Breast Cancer, 66.67% of individuals will be tested as positive in mammograms for detecting breast cancer.

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