Suppose that population A has 10 million items. If a sample of size 2000 is used, then a sample of size 4000 would give twice as much confidence in the result. Explain your decision.

Question

Quizplus · Accepted Answer

Doubling the sample size from 2000 to 4000 does not necessarily double the confidence in the result. While a larger sample size can reduce the margin of error and potentially increase the precision of the estimates, confidence levels are determined by the chosen confidence coefficient (e.g., 95%, 99%) and not directly by the sample size. Confidence levels are a measure of how often the true parameter would fall within the calculated confidence interval over repeated sampling, and this level is set by the researcher, not determined by the sample size.

Suppose That Population a Has 10 Million Items