est evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is 0.01. ample of 2602 people who had polyps removed during a colonoscopy were followed for 20 years, and 12 of them died from cold ancer. Does this provide evidence that the proportion of people who die from colon cancer after having polyps removed in a olonoscopy is significantly less than the expected proportion (without a colonoscopy) of 0.01? Zauber, et.al., "Colonoscopic Polypectomy and Long-Term Prevention of Colorectal-Cancer Deaths," New England Journal of Medicine, 2012; 366: 687-696.

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A colonoscopy is a screening test for colon cancer, recommended as a routine test for adults over age 50. One study' provides the
best evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is 0.01. A
sample of 2602 people who had polyps removed during a colonoscopy were followed for 20 years, and 12 of them died from colon
cancer. Does this provide evidence that the proportion of people who die from colon cancer after having polyps removed in a
colonoscopy is significantly less than the expected proportion (without a colonoscopy) of 0.01?
IZzauber, et.al., "Colonoscopic Polypectomy and Long-Term Prevention of Colorectal-Cancer Deaths," New England Journal of
Medicine, 2012; 366: 687-696.
(a) What are the null and alternative hypotheses?
:: *
: Pi
: P2
:: I
:: p
:: 0.01
: P1
: P2
:: r
Ho:
vs Ha:
::
::
::
::
::
Transcribed Image Text:A colonoscopy is a screening test for colon cancer, recommended as a routine test for adults over age 50. One study' provides the best evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is 0.01. A sample of 2602 people who had polyps removed during a colonoscopy were followed for 20 years, and 12 of them died from colon cancer. Does this provide evidence that the proportion of people who die from colon cancer after having polyps removed in a colonoscopy is significantly less than the expected proportion (without a colonoscopy) of 0.01? IZzauber, et.al., "Colonoscopic Polypectomy and Long-Term Prevention of Colorectal-Cancer Deaths," New England Journal of Medicine, 2012; 366: 687-696. (a) What are the null and alternative hypotheses? :: * : Pi : P2 :: I :: p :: 0.01 : P1 : P2 :: r Ho: vs Ha: :: :: :: :: ::
The sample proportion is p =
(c) The figure below shows a randomization distribution for this test. Use the fact that there are 1000 dots in the distribution to
find the p-value.
0.01
0.0046
Round your answer to three decimal places, if needed.
p-value
Transcribed Image Text:The sample proportion is p = (c) The figure below shows a randomization distribution for this test. Use the fact that there are 1000 dots in the distribution to find the p-value. 0.01 0.0046 Round your answer to three decimal places, if needed. p-value
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