Confidence Intervals - Intepretations in Context33 unread replies.33 replies. Stanley StatStudent is diligently working on a project for class. He has collected a random sample of data and calculates a 95% confidence interval for the proportion of all professional baseball players that are left-handed to be 25.42% LaTeX: \pm ± 11.11%. But now he is stuck! He doesn't know how to explain what this means. 1) Help Stanley out by writing a sentence to explain what the confidence interval he has calculated means in the context of the problem he is working on.2) Stanley feels like his confidence interval is very wide. He wonders if it is possible to make the confidence interval more narrow. What would he have to do in order to calculate a more narrow confidence interval? (There are two ways to do this.)3) Which of the two ways you suggested in #2 would be the better way for Stanley to narrow the confidence interval? Explain.