Answered: Juvenile Diabetes Treatment Exercise…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 16 (with diabetes) 22 (no diabetes) 38 (total)

Control 26 (with diabetes) 12 (no diabetes) 38 (total)

42 (total with diabetes) 34 (total no diabetes) 76 (total)

(a) Using p^1 to represent the proportion in the control group who developed diabetes and p^2 to represent the proportion in the teplizumab group who developed diabetes, find the sample difference in proportions, p^1-p^2. Round to three decimal places.

(b) Find a 99% confidence interval for the difference in proportions p1-p2. Round to three decimal places.
_____to_____

(c) What is the best estimate for the difference in proportions? Round to three decimal places.

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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