1) The data below come from a study that investigated the usefulness of MRI to diagnose breast cancer. Of the 650 women in the study, 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 637 650 Suppose that an MRI exam is used to decide between the two hypotheses. HO: A woman does not have breast cancer. Ha: A woman has breast cancer. A. In the context of this problem explain what a Type I error would mean B. In the context of this problem explain what a Type II error would mean.

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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
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1) The data below come from a study that investigated the usefulness of MRI to diagnose breast cancer. Of
the 650 women in the study, 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
637
650
Suppose that an MRI exam is used to decide between the two hypotheses.
HO: A woman does not have breast cancer.
Ha: A woman has breast cancer.
A. In the context of this problem explain what a Type I error would mean
B. In the context of this problem explain what a Type II error would mean.
Transcribed Image Text:1) The data below come from a study that investigated the usefulness of MRI to diagnose breast cancer. Of the 650 women in the study, 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 637 650 Suppose that an MRI exam is used to decide between the two hypotheses. HO: A woman does not have breast cancer. Ha: A woman has breast cancer. A. In the context of this problem explain what a Type I error would mean B. In the context of this problem explain what a Type II error would mean.
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