Juvenile Diabetes Treatment Exercise 2.22 introduces a study examining the effectiveness of the drug teplizumab at delaying or preventing the onset of juvenile diabetes (also called Type 1 diabetes). The results are shown in the table below. Teplizumab Control Total Diabetes 16 26 42 No diabetes 22 12 34 Total 38 38 76 (a) Using P, to represent the proportion in the control group who developed diabetes and p, to represent the proportion in the teplizumab group who developed diabetes, find the sample difference in proportions, P₁-P₂. Round to three decimal places. (b) Find a 99% confidence interval for the difference in proportions p₁ - P₂. Round to three decimal places. to i What is the margin of error for this estimate? Round to three decimal places. (c) What is the best estimate for the difference in proportions? Round to three decimal places.

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Juvenile Diabetes Treatment Exercise 2.22 introduces a study examining the effectiveness of the drug teplizumab at delaying or
preventing the onset of juvenile diabetes (also called Type 1 diabetes). The results are shown in the table below.
Teplizumab
Control
Total
to
Diabetes
16
26
42
Save for Later
No diabetes
22
12
34
Total
38
(a) Using P, to represent the proportion in the control group who developed diabetes and p₂ to represent the proportion in the
teplizumab group who developed diabetes, find the sample difference in proportions, P - P₂. Round to three decimal places.
i
(b) Find a 99% confidence interval for the difference in proportions p₁ - P₂. Round to three decimal places.
i
38
76
(c) What is the best estimate for the difference in proportions? Round to three decimal places.
i
What is the margin of error for this estimate? Round to three decimal places.
(d) Can we be confident, at the 99% level, that the new drug teplizumab is more effective than the control?
Transcribed Image Text:Juvenile Diabetes Treatment Exercise 2.22 introduces a study examining the effectiveness of the drug teplizumab at delaying or preventing the onset of juvenile diabetes (also called Type 1 diabetes). The results are shown in the table below. Teplizumab Control Total to Diabetes 16 26 42 Save for Later No diabetes 22 12 34 Total 38 (a) Using P, to represent the proportion in the control group who developed diabetes and p₂ to represent the proportion in the teplizumab group who developed diabetes, find the sample difference in proportions, P - P₂. Round to three decimal places. i (b) Find a 99% confidence interval for the difference in proportions p₁ - P₂. Round to three decimal places. i 38 76 (c) What is the best estimate for the difference in proportions? Round to three decimal places. i What is the margin of error for this estimate? Round to three decimal places. (d) Can we be confident, at the 99% level, that the new drug teplizumab is more effective than the control?
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