Question: A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 24% of women who actually have the disease. Researchers at New Hope Clinic claim they have developed a method that will detect cancer more accurately. 88 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in seven. Test the researcher's claim at the α = 0.04 level of significance.