We Will Test the Hypothesis That $p = 60 \%$ Versus $p > 60 \%$

question 704

Multiple Choice

We will test the hypothesis that $p = 60 \%$ versus $p > 60 \%$ . We don't know it, but actually $p$ is $70 \%$ . With which sample size and significance level will our test have the greatest power?

• A) \(\alpha = 0.05 , n = 500\)
• B) \(\alpha = 0.01 , n = 200\)
• C) \(\alpha = 0.01 , n = 500\)
• D) The power will be the same so long as the true proportion \(p\) remains \(70 \%\).
• E) \(\alpha = 0.05 , n = 200\)

---

Definitions:

International Negotiations

The process of discussing and coming to an agreement between parties from different countries, often involving complex cultural, legal, and economic factors.

Recognized

Being acknowledged or given formal validation by an authoritative body, peers, or society in general, for one's status, accomplishments, or legitimacy.

Inclusion/Exclusion

The act of involving or not involving individuals or groups in activities, processes, or decision-making.

Participants

Individuals, groups, or entities that take part in a process or activity.