Which of the following are true about a type II error? (Select all that apply.)

a. It is more likely to occur when p <.01 rather than when p <.05.
b. It is extremely likely to occur when p <.001.
c. It occurs when the null hypothesis is true but rejected.
d. It is a possibility only when there are statistically nonsignificant results in a study.
e. It is a possibility only when there are statistically significant results in a study.


ANS: A, B, D
The probability of retaining the null hypothesis when it is in fact false is a type II error. In nursing research, beta is frequently set to 0.20, meaning that the researcher will allow for a 20% or lower chance of making a type II error, when the alpha is set at .05. If the alpha decreases (becomes more stringent) (.025, .01, and so forth), decreasing the possibility of type I error, the consequence is that the beta rises, making type II error much more likely. When a statistical test in a research study shows that a result is not statistically significant, the discerning reader will evaluate the sample size and the level of significance, in order to determine the possibility that a type II error occurred. It is not possible to decrease both types of error simultaneously without a corresponding increase in sample size.

Nursing

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