Suppose a paper describes a study that Investigated the usefulness of using MRI (magnetic resonance imaging) to diagnose breast cancer. MRI exams from 650 women were reviewed. Of the 650 women, 11 had breast cancer, and the MRI exam detected breast cancer In 10 of these women. Of the 639 women who did not have breast cancer, the MRI correctly identified that no cancer was present for 545 of them. The accompanying table summarizes this Information. Breast Cancer Breast Cancer Present Not Present Total MRI Indicated 10 94 104 Breast Cancer MRI Did Not Indicate Breast Cancer 1 545 546 Total 11 639 650 Suppose that an MRI exam is used to decide between the two hypotheses. Ho: A woman does not have breast cancer. H : A woman has breast cancer. (Although these are not hypotheses about a population characteristic, this exercise Illustrates the definitions of Type I and Type [I errors.) (a) One possible error would be deciding that a woman who has breast cancer is cancer-free. Is this a Type I error or a Type II error? Type 1 Type II 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 fraction.) (b) There is a second type of error that is possible in this context. Describe this error. )In this scenario, a Type I error is concluding that a woman has cancer when she really does not have cancer. In this scenario, a Type II error is concluding that a woman has cancer when she really does not have cancer. Use the information in the table to approximate the probability of this type of error. (Enter your probability as a fraction.)