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A method currently used by doctors to screen women for possible breast cancer has a failure...

A method currently used by doctors to screen women for possible breast cancer has a failure rate of 15%. That is, it fails to detect cancer in 15% of the women who are known to 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. Test the claim that the new method is more accurate (that is, has a Lower failure rate) to a level significance of 0.05
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