A large sample will tend to produce high-power statistical tests while small samples will tend to produce low power statistical tests.

Question

Quizplus · Accepted Answer

This is true because with a larger sample size, the test will have more data points and be less susceptible to random variation. This reduces the probability of a Type II error, which increases the power of the test. On the other hand, with a smaller sample size, there may not be enough data points to detect a significant difference even if one exists, leading to a higher probability of a Type II error and resulting in a lower power statistical test.

A Large Sample Will Tend to Produce High-Power Statistical Tests