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Recall definitions 4.1 and 4.2 on interval estimators and confidence intervals. Suppose Peter claims that a 95% confidence interval is, "a pair of numbers that tell you where the true parameter is 95 times out of a 100 simulations of the same data." Is Peter's statement correct? Explain why or why not.

e Definition 4.1: An interval estimate of a parameter 9 E 9 E R is any pair of statistics L, U : X\" > R such that L(x) s U(x) for all x e X". The random interval (L(K),U(X)) is called an interval estimator. 0 Example 4.2: 0 Definition 4.2: Suppose a: 6 [0,1]. An interval estimator (L(X),U(X)) is a (1 a)-oonfidenoe interval for 0 if 1P9 (LDC)