Dооgаn is tаking Stаtistics and has just learned abоut confidence intervals. He makes the following statement: "If all other sample values are held constant, then increasing the confidence level from 90% to a higher percentage will always result in a wider confidence interval, regardless if you are dealing with means or proportions." Do you agree/disagree with his statement? If you agree, then write a few sentences justifying why this statement is true. If you disagree, then provide a counterexample where this property doesn't hold and specify which sample values you utilized.