A colonoscopy is a screening test for colon cancer, recommended as a routine test for adults over age. A new study⁽¹⁾provides the best evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is. A sample ofpeople who had polyps removed during a colonoscopy were followed foryears, andof 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?

(a) What are the null and alternative hypotheses?

(b) What is the sample proportion?

Round your answer to four decimal places

The sample proportion is

.

(c) The figure below shows a randomization distribution for this test. Use the fact that there aredots in the distribution to find the-value.

Round your answer to three decimal places, if needed.

-value

(d) Does the-value appear to show significant evidence that colonoscopies save lives?

Yes

No