Test Hypotheses About a Population Proportion
-A Method Currently Used $25 \%$

Test Hypotheses about a Population Proportion
-A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in $25 \%$ 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 70 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 8 . Is the sample size sufficiently large in order to conduct this test of hypothesis? Explain.