Select the statement that is accurate about the power of a statistical test

1. The more powerful a test is, the less likely it is to reject the null hypothesis when it is false.
2. The power of the test increases with smaller sample sizes.
3. A one-tailed test is more powerful than a two-tailed test.
4. The power of the test decreases as the level of significance increases.


3
Rationale 1: The power of a statistical test is defined as the ability of the test to reject a null hypothesis when it is false.
Rationale 2: The larger the sample size chosen, the more powerful the statistical test will be.
Rationale 3: This is a true statement.
Rationale 4: The higher the level of significance that is selected, the more power the statistical test will have.

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