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When using normal calculations involving sampling proportions, which of the following conditions must be met?

I. The population must be at least $10$ times the sample.

II. $np$ and $n (1-p)$ must both be greater than or equal to $10$, where $n$ is the sample size and $p$ is the proportion of success.

III. The sample size must be over $30$.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

II and III only.

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