Vitamin D and IBS ~A recent study from the University of Sheffield in the United Kingdom revealed that in a small pilot study of patients with Irritable Bowel Syndrome (IBS), 82% had a vitamin D deficiency.Simon and Vicky read about this pilot study and want to investigate it among patients suffering from IBS in the Northeastern region of the United States. They recruit a random sample of 100 IBS patients in this region and use blood tests to determine that 70 of these patients are vitamin D deficient.Round all calculated answers to 4 decimal places where appropriate.1.Using the information from the sample taken by Simon and Vicky, construct a 99% confidence interval for the true proportion of IBS patients in the Northeastern region of the US who are vitamin D deficient.