Chapter 4, Section 2, Exercise 069

Colonoscopy, Anyone?

A colonoscopy is a screening test for colon cancer, recommended as a routine test for adults over age50

. One study¹provides the best evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is0.01

. A sample of2602

people who had polyps removed during a colonoscopy were followed for20

years, and12

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) of0.01

?

¹Zauber, et.al., "Colonoscopic Polypectomy and Long-Term Prevention of Colorectal-Cancer Deaths,"New England Journal of Medicine, 2012; 366: 687-696.

Incorrect.

(a) What are the null and alternative hypotheses?

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Your answer is partially correct.Try again.

(b) What is the sample proportion?

Round your answer to four decimal places

The sample proportion isp^=

.

(c) The figure below shows a randomization distribution for this test. Use the fact that there are1000

dots in the distribution to find thep

-value.

Round your answer to three decimal places, if needed.

p

-value=

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