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

question 50

Multiple Choice

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

• A) I and II
• B) III only
• C) I, II, and III
• D) I and III

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Definitions:

Euphotic Zone

The layer of the ocean where sunlight is sufficient for photosynthesis, supporting a majority of marine life.

Ecological Service

Benefits to humans provided by natural ecosystems, including pollination, water purification, climate regulation, and nutrient cycling.

Freshwater Systems

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