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

question 3

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

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Definitions:

Faulty Process

An ineffective or flawed procedure that leads to undesired outcomes.

Disjunctive Tasks

Tasks for which the performance of the group is determined by the best individual performance within the group.

Social Loafing

describes the phenomenon where individuals exert less effort to achieve a goal when they work in a group than when they work alone.

Personal Involvement

The degree to which individuals engage with a task or issue based on personal interest, values, or stakes.