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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
We have studied confidence intervals. Carefully read the following statements about confidence intervals:
(a) Once the endpoints of the confidence interval are numerically fixed, the parameter in question (either μ or p) does or does not fall inside the “fixed” interval.
(b) A given fixed interval either does or does not contain the parameter μ or p; therefore, the probability is 1 or 0 that the parameter is in the interval. Next, read the following statements. Then discuss all four statements in the context of what we actually mean by a confidence interval.
(c) Nontrivial probability statements can be made only about variables, not constants.
(d) The confidence level c represents the proportion of all (fixed) intervals that would contain the parameter if we repeated the process many, many times.
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