The effect of weight function on hypothesis testing in weighted sampling

In this paper the problem of statistical hypothesis testing under weighted sampling is considered for obtaining the most powerful test. Some simulated powers of tests, using the Monte Carlo method, are performed. Using a convenient sample of the specialist physicians of Social Security Organization of Ahvaz in Iran, two weighted samplings versus random sampling are tested. Among the three mentioned sampling, the size-biased sampling order 0.2 is more appropriate for the mechanism of data collection.