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Which of the following is not a condition necessary for conducting a two-sample $z$-test for proportions?

A

We have a random sample from each of the two populations or from each of two different treatment groups.

B

The samples are independent of each other.

C

Each of the two populations is sufficiently larger than their respective sample size.

D

The total number of observations must be at least $30$ or we must know that the population distribution is approximately normal.

E

For each population, we expect a sufficient number of successes and a sufficient number of failures.

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