In January 2022, an education technology company surveyed 1,024 faculty members at 581 institutions (both two- and four-year) across the U.S. and asked them to share their honest feedback about how their job responsibilities and job satisfaction today compare to 3-5 years ago. 584 faculty reported spending time checking for possible plagiarism and cheating. We can use this information to calculate a 99% confidence interval for the proportion of all U.S. faculty in January 2022 who were spending time upholding academic integrity. Compute the margin of error for a 99% confidence interval. Round your answer to 3 decimal places