A University Is Studying the Proportion of Students Retained in Various

A university is studying the proportion of students retained in various years.Suppose the proportion of students retained in 2012 is $\text { P12 }$ and the proportion of students retained in 2013 is $\mathrm { P } 13$ .A study found a 90% confidence interval for $\text { P12 }$ - $\mathrm { P } 13$ is (-0.0398,0.0262) .Give an interpretation of this confidence interval.

A) We are 90% confident that the proportion of students retained in 2012 is between 3.98% less and 2.62% more than the proportion of students retained in 2013.
B) We know that 90% of students retained in 2013 is between 3.98% less and 2.62% more than 2012.
C) We know that 90% of students retained in 2012 is between 3.98% less and 2.62% more than 2013.
D) We are 90% confident that the proportion of students retained in 2013 is between 3.98% less and 2.62% more than the proportion of students retained in 2012.
E) We know that 90% of all random samples done on the population will show that the proportion of students retained in 2012 is between 3.98% less and 2.62% more than the proportion of students retained in 2013.