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[Statistics] Which of the following statements about power are true?

I. Power = P(Type II Error).

II. An increase in sample size increases power

III. A test with higher power is more likely to reject false null hypothesis.


(a) I only

(b) II only

(c) I and II

(d) I and III

(e) I, II, and III

Respuesta :

The statements about the power that is true include E. I, II, and III.

What is power?

Power simply means the amount of energy that is transferred or converted per unit time.

It should be noted that an increase in sample size increases power and a test with a higher power is more likely to reject false null hypothesis.

Increasing sample size will make the hypothesis test more sensitive and thus more likely to reject the null hypothesis. Thus, it increases the power of the test.

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