sample of 9247 people diagnosed with colorectal cancer, 959 had previously had a colonoscopy. Construct a 90% 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.

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Colonscopy is a medical procedure that is designed to find and remove precancerous lesions in the colon before they become cancerous. In a sample of 51,560 people without colorectal cancer, 6084 had previously had a colonoscopy, and in a sample of 9247 people diagnosed with colorectal cancer, 959 had previously had a colonoscopy. Construct a 90% 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. 

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