This test is identical to the test that we shall study in more detail in Section 8.5.
One-Sided Confidence Intervals. There also exist one-sided confidence intervals that correspond to tests of one-sided hypotheses. Let be a parameter, and let be a one-dimensional function of . For example, if is the parameter of a family of normal distribution, is a one-dimensional function. If, for each . We have a level test of the hypotheses