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Which of the following is/are conditions necessary for a one-proportion $Z$-test?

I. The data must come from a simple random sample.

II. $np$ and $n(1-p)$ must both be more than $10$, where $n$ is the sample size and $P$ is the probability of success.

III. The sample size must be more than $30$.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

II and III only.

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