Provide an Appropriate Response $98 \%$ Confident That the Margin of Error Is Within

question 14

Multiple Choice

Provide an appropriate response.
-A local outdoor equipment store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated. The current owners have never determined their outdated percentage and can not help the buyers. Approximately how large a sample do the buyers need in order to insure that they are $98 \%$ confident that the margin of error is within $2 \%$ ?

• A) 3394
• B) 6787
• C) 13,573
• D) 1457

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Definitions:

Habituated

The process by which an individual becomes accustomed to a stimulus or environment over time, leading to a decrease in responsiveness.

Yerkes-Dodson Law

A psychological principle that asserts there is an optimal level of arousal for the best performance of a task: too little arousal can lead to underperformance, while too much can lead to mistakes.

Simple Tasks

Activities or tasks that require a minimal amount of cognitive or physical effort to complete.

Industrial/Organizational Psychologists

Professionals who apply psychological principles and research methods to improve the workplace environment, productivity, and employee-related issues.