The population size has little or no effect on sample size except for very small populations

4. The deviation rate the auditor will permit in the population and still be willing to reduce theassessed level of control risk is called thea.Tolerable deviation ratec. Acceptable risk of over-relianceb. Estimated population deviation rated. Sample deviation rate5. Which of the following statements is correct?a. The expected population deviation rate has little or no effect on sample size.b. As the population size doubles, the sample size also should double.c. For a given tolerable rate, a larger sample size should be selected as the expectedpopulation deviation rate decreases.d. The population size has little or no effect on sample size except for very small populations.6. When sampling for attributes, which of the following would decrease sample size?Risk of assessingTolerable rateExpected populationControl risk too lowof deviationdeviation ratea.IncreaseDecreaseIncreaseb.DecreaseIncreaseDecreasec.IncreaseIncreaseDecreased.IncreaseIncreaseIncrease7. A statistical sampling technique that will minimize sample size whenever a low deviation rateis expected isa. Ratio-estimation sampling.c. Stratified mean-per-unit sampling.b. Difference-estimation sampling.d. Stop-or-go sampling.

I used the following formula to calculate the sample size.

n = Z^2 * K * p * (1-p) / i^2; (k = 2, Z = 1.96, p = expected proportion, i = 0.03)

I noticed that the sample size is not related to the population size, it means whatever the population size is small or large, the sample size is still the same! I do not assimilate? My idea is that if the population size is important, certainly the size of the sample increases and vice versa. Is there a requirement to use this formula?