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In the Context of a Hypothesis Test for Two Proportions pˉ,\bar { p } ,

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In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, pˉ,\bar { p } , is/are true?
I. It estimates the common value of text p1p _ { 1 } and p2p _ { 2 } under the assumption of equal proportions.
II. It is obtained by averaging the two sample proportions p^\hat { p } and p^2\hat { p } _ { 2 }
III. It is equal to the proportion of successes in both samples combined.

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