A number of fetal stem cells may cross the placenta from the fetus to the mother during pregnancy and remain in the mother's tissue for decades. A recent study (2014 ) shows that the presence of fetal cells in the mother may offer some protection against the onset of breast cancer. Of the 580 women with the onset of breast cancer, 130 had fetal cells. Of the 550 women without breast cancer, 360 had fetal cells.

Apply the appropriate hypothesis test (or tests) to test the claim (alpha = .05 that fetal cells offer protection against the onset of breast cancer in the mother.