As sample size increases we expect sample statistics to vary

As sample size increases, we expect sample statistics to vary less around our hypothesized population value (the null value). Therefore, as sample size increases a given magnitude of difference between our sample value and the null value becomes more unusual resulting in a lower p-value. Therefore, a given magnitude of difference between the sample value and null value is more likely to achieve statistical significance (p-value 0.05) when the sample size is larger

What does a decrease in sample size do to the probability of a Type 2 error?

A) Makes the probability of a Type 2 error lower
B) Makes the probability of a Type 2 error higher
C) Does not influence the probability of a Type 2 error

Solution

OPTION A) Makes the probability of a Type 2 error lower [ANSWER]

************************

Note that errors are less probable when you have larger sample sizes, because you \"know more\" about the population.