In: Statistics and Probability
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 121 of the 344 patients assigned to the conventional treatment showed a sustained progression of their original retinopathy. In contrast, only 62 of the 376 patients assigned to the intensive treatment had sustained retinopathy progression.
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. (Use 3 decimal places)
Solution-:
Let,patients assigned to the conventional treatment showed a sustained progression of their original retinopathy.
and patients assigned to the intensive treatment had sustained retinopathy progression.
the proportion of conventional treatment patients with sustained retinopathy progression
and the proportion of intensive treatment patients with sustained retinopathy progression.
Given: and
and
We 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 is