1. In this chapter, 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 m or p) does or does not fall inside the “fixed”

interval.

(b) A given fixed interval either does or does not contain the parameter m 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.