A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 20% of 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. Is the sample size sufficiently large to conduct this test of hypothesis?

Respuesta :

Answer: Absolutely yes.

Explanation:

It's vital we investigate to know of the new method is even much better as far as percentage of success is concerned.

SAMPLE SIZE : 80

SUCCESSFUL DETECTION = 80-9= 71

PERCENTAGE OF FAILURE = 100 - % OF SUCCESS. or

THE PERCENTAGE OF FAILURE = (9/80) × 100% = 11.25 %

It is clear that this new method definitely detects cancer much better than the previous one and consequently for that sample size is sufficiently large to hypothesize if the new method detects cancer better.