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Lock, Statistics: Unlocking the Power of Data, 2e PRINTER VERSION BACK Can Dogs

ID: 3312983 • Letter: L

Question

Lock, Statistics: Unlocking the Power of Data, 2e PRINTER VERSION BACK Can Dogs Smell Cancer? Scientists are working to train dogs to smell cancer, including early stage cancer that might not be detected with other means. In previous studies, dogs have been able to distinguish the smell of bladder cancer, lung cancer, and breast cancer. Now, it appears that a dog in Japan has been trained to smell bowel cancer. Researchers collected breath and stool samples from patients with bowel cancer as well as from healthy people. The dog was given five samples in each test, one from a patient with cancer and four from healthy volunteers. The dog correctly selected the cancer sample in 33 out of 36 breath tests and in 37 out of 38 stool tests Dog Detects Bowel Cancer," CNN Health Online, January 31, 2011. (a) Make a two-way table displaying the results of the study. Include the totals Breath test Stool test Total Selects cancer Does not select cancer Total 9

Explanation / Answer

(a)

Following is the completed table :

(b)

The percenatge of breath samples dog smell correct is

P = 33 /36 = 0.917 = 91.7%

The percenatge of stool samples dog smell correct is

P = 37 /38 = 0.974 = 97.4%

(c)

Out of 70 tests that dog smell correct, 37 are stool samples so required percentage is

P = 37 /70 = 0.529 = 52.9%

Breath Cancer Stool Cancer Total Selects cancer 33 37 70 Does not select cancer 36-33=3 38-37=1 4 Total 36 38 74
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