In a study of a proposed treatment for diabetes prevention, 339 people under the age of 20 who were thought to be at high risk of developing type I diabetes were assigned at random to two groups. One group received twice-daily injections of a low dose of insulin. The other group (the control) did not receive any insulin, but was closely monitored. Summary data are given below. Number Group n Developing Diabetes Insulin 169 33 Control 170 31 ' IQ USE SALT (a) Use the given data to construct a 90% condence interval for the difference in the proportion that develop diabetes for the control group and the insulin group. (Use plnsuun peontml. Round your answers to three decimal places.) ( ) (b) Give an interpretation of the condence interval. 0 We are 90% condent that the true mean proportion of people receiving low doses of insulin who develop diabetes is between these two values. 0 We are 90% condent that the true difference between the proportion of people receiving low doses of insulin who develop diabetes and people not receiving insulin who develop diabetes is between these two values. 0 There is a 90% chance that the true difference between the proportion of people receiving low doses of insulin who develop diabetes and people not receiving insulin who develop diabetes is directly in the middle of these two values. 0 We are 90% condent that the true mean proportion of people not receiving low doses of insulin who develop diabetes is between these two values. 0 There is a 90% chance that the true mean proportion of people receiving low doses of insulin who develop diabetes is directly in the middle of these two values. Give an interpretation of the associated condence level. O In repeated sampling with a sample size of 339, 90% of the resulting condence intervals would contain the true proportion of people not using insulin who develop diabetes. 0 In repeated sampling with any sample size, 90% of the resulting condence intervals would contain the true proportion of people using insulin who develop diabetes. 0 In repeated sampling with a sample size of 339, 90% of the resulting condence intervals would contain the true difference in proportion who develop diabetes for while using and not using insulin. 0 In repeated sampling with a sample size of 339, 90% of the resulting condence intervals would contain the true proportion of people using insulin who develop diabetes. 0 In repeated sampling with any sample size, 90% of the resulting condence intervals would contain the true difference in proportion who develop diabetes for while using and not using insulin. (c) Based on your interval from part (a), write a few sentences commenting on the effectiveness of the proposed prevention treatment. 0 Zero is not included in the interval. This tells us that we do not have convincing evidence at the 0.10 condence level of a difference between the proportion of people receiving insulin who develop diabetes and people not receiving insulin who develop diabetes. 0 Zero is included in the interval. This tells us that we do not have convincing evidence at the 0.10 confidence level of a difference between the proportion of people receiving insulin who develop diabetes and people not receiving insulin who develop diabetes. 0 Zero is included in the interval. This tells us that we have convincing evidence at the 0.10 condence level of a difference between the proportion of people receiving insulin who develop diabetes and people not receiving insulin who develop diabetes. O Zero is not included in the interval. This tells us that we have convincing evidence at the 0.10 condence level of a difference between the proportion of people receiving insulin who develop diabetes and people not receiving insulin who develop diabetes