Question

Cancer prevention: Colonoscopy is a medical procedure that is designed to find and remove precancerous lesions in the colon before they become cancerous. In a sample of

51,007

people without colorectal cancer,

6020

had previously had a colonoscopy, and in a sample of

8761

people diagnosed with colorectal cancer,

994

had previously had a colonoscopy.

Part 1 of 2

(a) Construct a 99.8% confidence interval for the difference in the proportions of people who had colonoscopies between those who were diagnosed with colorectal cancer and those who were not. Let p1 denote the proportion of people without colorectal cancer who had colonoscopies and let p2 denote the proportion of people with colorectal cancer who had colonoscopies. Use the TI-84 Plus calculator and round the answers to three decimal places.

A 99.8% confidence interval for the difference in the proportions of people who had colonoscopies between those who were diagnosed with colorectal cancer and those who were not is

<p1-p2<

.

Answer 1