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

question 59

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

---

Definitions:

Level 5 Leadership

A concept describing the highest stage of leadership maturity characterized by a unique blend of personal humility and professional will.

Personal Humility

A characteristic of individuals who have a modest view of their own importance and are respectful towards others' perspectives and achievements.

Professional Will

A document or plan that outlines how one’s professional responsibilities and tasks should be managed in their absence, ensuring continuity and accountability.

Ambition

The strong desire to achieve success, often requiring determination and hard work.