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Two-Proportion Test: Power

APSTAT-TEEFAD

Which of the following statements is/are NOT true about power in the context of a two-proportion test?

I. Large sample sizes will often allow the statistician to find a significant difference between the two proportions if one really exists.
II. Low alpha levels will allow the statistician to find a significant difference between the two proportions if one really exists.
III. Power will be $1$, the probability of a type I error.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

II and III only.