The paper "Breast MRI as an Adjunct to Mammography for Breast Cancer Screening in High-Risk Patients" describes a study that investigated the usefulness of MRI (magnetic resonance imaging) to diagnose breast cancer. MRI exams from 650 women were reviewed. Of the 650 women, 13 had breast cancer, and the MRI exam detected breast cancer in 12 of these women. Of the 637 women who did not have breast cancer, the MRI correctly identified that no cancer was present for 547 of them. The accompanying table summarizes this information. †   Breast Cancer Present Breast Cancer Not Present Total MRI Indicated Breast Cancer 12 90 102 MRI Did Not Indicate Breast Cancer 1 547 548 Total 13 637 650   a.    Use the information in the table to approximate the probability of this type of error. (Hint: See Example 10.8. Enter your probability as a decimal)   b.   Use the information in the table to approximate the probability of this type of error. (Enter your probability as a decimal )

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The paper "Breast MRI as an Adjunct to Mammography for Breast Cancer Screening in High-Risk Patients" describes a study that investigated the usefulness of MRI (magnetic resonance imaging) to diagnose breast cancer. MRI exams from 650 women were reviewed. Of the 650 women, 13 had breast cancer, and the MRI exam detected breast cancer in 12 of these women. Of the 637 women who did not have breast cancer, the MRI correctly identified that no cancer was present for 547 of them. The accompanying table summarizes this information.

  Breast Cancer
Present
Breast Cancer
Not Present
Total
MRI Indicated
Breast Cancer
12 90 102
MRI Did Not
Indicate Breast Cancer
1 547 548
Total 13 637 650

 

a. 

 

Use the information in the table to approximate the probability of this type of error. (Hint: See Example 10.8. Enter your probability as a decimal)
 
b.
 
Use the information in the table to approximate the probability of this type of error. (Enter your probability as a decimal )
 
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