A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 15% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 80 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 9.
a. Find a point estimate for the proportion of breast cancer that failed to be detected by the new method.
b. Clearly state the null and alternative hypothesis