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

question 139

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 $p _ { 1 }$ and $p _ { 2 }$ under the assumption of equal proportions.
II. It is obtained by averaging the two sample proportions $\hat { p } _ { 1 }$ and $\hat { p } _ { 2 }$ .
III. It is equal to the proportion of successes in both samples combined.

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

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Definitions:

Visual Accommodation

The automatic adjustments made by the lenses of the eyes to bring objects into focus.

Classical Conditioning

An educational technique involving the repetitive pairing of two stimuli, which results in a reaction initially caused by the second stimulus, being eventually provoked by just the first stimulus.

Neonate

Newborn baby, particularly within the first 28 days of life outside the womb.

Blink

A rapid closing and opening of the eyelid, which is a reflex action protecting the eye from irritants and helping to spread tears over the surface of the eye.