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Two-Proportion Z-Test Independence Condition

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For a randomized experiment, how does the independence condition for a two-proportion z-test differ from the condition for a one-proportion z-test?

A

It only requires independence within each group, not between groups

B

It requires independence both within and between the two groups being compared

C

It assumes automatic independence due to randomization, negating the need for further checks

D

It focuses solely on the independence between the two groups, ignoring within-group independence

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