Question

1. A 90% confidence interval is calculated for the true proportion, p, of all medical students who plan to work in a rural community. The confidence interval is 0.2<p<0.6.

Write the interpretation for this confidence interval.

Answer 1

Given, the 90% confidence interval for the true proportion, p, of all medical students who plan to work in a rural community is, 0.2<p<0.6.

That means, if we take a sample of 100 medical students,there is 90% chance that the number of students who plan to work in a rural community will fall between 20 and 60. Or in general, if we take a sample of n students, there is 90% chance that the students who plan to work in a rural community will fall between (n*20/100) =n/5 and (n*60/100)=3n/5.