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A Local Men's Clothing Store Is Being Sold

question 67

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A local men's clothing store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will choose a random sample from the 100,000 items in the store's inventory in order to determine the proportion of merchandise that is outdated. The current owners have never determined the percentage of outdated merchandise and cannot help the buyers. How large a sample do the buyers need in order to be 95% confident that the margin of error of their estimate is about 5%?


Definitions:

Merger

The combination of two or more companies into a single entity, typically to achieve synergistic effects.

Acquisition

The process by which a company buys most or all of the target company's ownership stakes to assume control.

Stockholders

Stockholders, or shareholders, are individuals or entities that own one or more shares of stock in a public or private corporation, granting them equity ownership.

Acquiring Firms

Companies that purchase a majority stake in another company to assume control of its operations and resources.

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