In: Statistics and Probability
Two libraries are comparing their success rate at getting books returned on time.
Sample data is as follows:
Library A: n = 200 books 180 returned on time
Library B: n = 200 books 160 returned on time
Create a confidence interval at 99% confidence for the difference between the proportion of books returned at library A vs. the proportion of books returned at library B.
Let X1 = Library A and X2 = Library B
99% confidence interval for the difference between the population proportions p1 − p2 is 0.009 < p < 0.191, which indicates that we are 99% confident that the true difference between population proportions is contained by the interval (0.009 , 0.191).
◆ Confidence Interval Calculation-