A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients 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 patients known to this type of cancer is screened using the new method and the method failed to detect the cancer in 8 patients. At the 5% level of significance, can the researchers conclude that the new method is better than the one currently in use? (Can they conclude that the new method fails to detect cancer in less than 15% of the patients who actually have the disease?)

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Mathematics

Nicolas Hurst

17 July, 04:47

A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients 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 patients known to this type of cancer is screened using the new method and the method failed to detect the cancer in 8 patients. At the 5% level of significance, can the researchers conclude that the new method is better than the one currently in use? (Can they conclude that the new method fails to detect cancer in less than 15% of the patients who actually have the disease?)

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Mya · Answer 1

A technique presently used through docs to display screen ladies for breast most cancers fails to observe most cancers in 15% of the girls who without a doubt have the disease. A random pattern of eighty girls acknowledged to have breast most cancers are to be screened the use of a new technique that researchers suppose will be capable to realize most cancers greater accurately. At the 0.05 stage of significance, the researchers will be capable to conclude that the new approach is higher than the present day one if the fantastic.

Answer::: greater than 1.645