Hypothesis testing about proportions in two finite populations

摘要

The paper explores two tests on equality of proportions in two finite populations: The Z-test (based on the usual normal approximation). The approximate E-test. (See the Results below for further explanations on both tests). Computing size and power of the tests numerically for various arbitrarily selected sample sizes and population proportions, the paper concludes that the approximate E-test is: Almost exact since the sizes of the test seldom exceed the nominal level by a significant amount. Satisfactory even for small sample sizes and can be recommended for practical use. The paper comments that the necessary programs for computing p-values and powers of the approximate E-test are provided at the Web page http://lib.stat.cmu.edu/TAS/, and the prospective users need not face any practical difficulties in using the E-test. (15 refs.)