We Test the Hypothesis That $p = 35 \%$ Versus $p < 35 \%$

question 29

Multiple Choice

We test the hypothesis that $p = 35 \%$ versus $p < 35 \%$ . We don't know it but actually $p = 26 \%$ . With which sample size and significance level will our test have the greatest power?

• A) \(\alpha = 0.03 , n = 400\)
• B) \(\alpha = 0.03 , n = 250\)
• C) \(\alpha = 0.01 , n = 250\)
• D) The power will be the same as long as the true proportion \(p\) remains \(26 \%\)
• E) \(\alpha = 0.01 , n = 400\)

---

Definitions:

Self-Discipline

The capacity to manage personal emotions and conquer personal flaws; the power to follow through with one's convictions regardless of the temptation to forsake them.

Trusting Relationship

A relationship characterized by confidence, reliance, and faith between parties, often leading to enhanced communication and cooperation.

Prescriptive

Providing recommendations or rules about what should be done, often based on norms, standards, or theories.

Theoretical Approach

pertains to a conceptual framework or system of ideas that is used to explain a phenomenon or guide research and practice.