Problem (tumor suppressor gene). BRCA1 is a gene that has been linked to breast cancer.1 Researchers used DNA analysis to search for BRCA1 mutations in 169 women with family histories of breast cancer. Of the 169 women tested, 27 had BRCA1 mutations. Let p denote the probability that a woman with a family history of breast cancer will have a BRCA1 mutation (so, p is the population proportion of women with BRCA1 mutation among those with a family history of breast cancer). Compute the sample proportion, the (estimated) standard error SEPb, as well as the 95% confidence interval for p from the data.