A Small Private College Is Interested in Determining the Percentage $20 \%$

question 82

Multiple Choice

A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than $20 \%$ of their current students live off campus and drive to class. The college decided to take a random sample of 108 of their current students to use in the analysis. Is the sample size of $n = 108$ large enough to use this inferential procedure?

• A) Yes, since the central limit theorem works whenever proportions are used
• B) Yes, since \(n \geq 30\)
• C) Yes, since both \(n p\) and \(n q\) are greater than or equal to 15
• D) \(\mathrm { No }\)

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Definitions:

Permafrost

Permanently frozen ground that occurs in high latitude or altitude regions.

Polar Grasslands

A cold, treeless region found in the high latitudes, often referred to as tundra, where the subsoil is permanently frozen and vegetation is sparse.

Arctic Tundra

A cold, treeless biome found in the Arctic regions, characterized by permafrost, low temperatures, and minimal vegetation.

Convection

The transfer of heat through a fluid (liquid or gas) caused by molecular motion.