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As sample size increases, we expect sample statistics to vary less around our hy

ID: 3389456 • Letter: A

Question

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

Explanation / Answer

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

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