Question: A method currently used by doctors to screen women for possible breast cancer. The method fails to detect cancer in 20% of the women who actually have the disease. Suppose a new method has been developed that researchers hope will detect cancer more accurately. This new method was used to screen a random sample of 140 women known to have breast cancer. Of these, the new method failed to detect cancer in \(12\) women. Does this sample provide evidence that the failure rate of the new method differs from the one currently in use? Using a=.05.