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. Group n Number Developing Diabetes Insulin 169 41 Control 170 40 (a) Use the given data to construct a 90% confidence interval for the difference in the proportion that develop diabetes for the control group and the insulin group. (Use ?Insulin − ?Control. Round your answers to three decimal places.)

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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.
Group n Number
Developing
Diabetes
Insulin 169 41
Control 170 40
(a)
Use the given data to construct a 90% confidence interval for the difference in the proportion that develop diabetes for the control group and the insulin group. (Use ?Insulin − ?Control. Round your answers to three decimal places.)
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