The Diabetes Control and Complications Trial followed diabetes patients diagnose

Question

The Diabetes Control and Complications Trial followed diabetes patients diagnosed with retinopathy before joining the study. They were randomly assigned to one of two treatments and monitored for 6 years. The study found that 133 of the 341 patients assigned to the conventional treatment showed a sustained progression of their original retinopathy. In contrast, only 71 of the 370 patients assigned to the intensive treatment had sustained retinopathy progression. (a) Find a point estimate of the difference between the proportion of conventional treatment patients with sustained retinopathy progression and the proportion of intensive treatment patients with sustained retinopathy progression.

Explanation / Answer

Confidence Interval for Diffrence of Proportion
CI = (p1 - p2) ± Z a/2 Sqrt(p1(1-p1)/n1 + p2(1-p2)/n2 )
Proportion 1
No. of chances( X1 )=133
No.Of Observed (n1)=341
P1= X1/n1=0.39
Proportion 2
No. of chances(X2)=71
No.Of Observed (n2)=370
P2= X2/n2=0.192
Point if estimate = (0.39-0.192) = 0.198

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