A Study Was Conducted to Determine What Proportion of All $\mathrm { n } > 25$

question 81

Multiple Choice

A study was conducted to determine what proportion of all college students considered themselves as full-time students. A random sample of 300 college students was selected and 210 of the students responded that they considered themselves full-time students. A computer program was used to generate the following 95% confidence interval for the population proportion: (0.64814,
0.75186) . The sample size that was used in this problem is considered a large sample. What criteria should be used to determine if n is large?

• A) If \(\mathrm { n } > 25\), then \(\mathrm { n }\) is considered large.
• B) Both \(\hat { n p } \geq 15\) and \(\hat { n q } \geq 15\).
• C) When working with proportions, any \(\mathrm { n }\) is considered large.
• D) If \(\mathrm { n } \geq 30\), then \(\mathrm { n }\) is considered large.

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Definitions:

Importer

An individual, company, or entity that buys goods or services from a foreign country for sale within their own country.

Swiss Francs

Swiss Francs are the currency of Switzerland, known for their stability and regarded as a safe-haven currency in times of financial uncertainty.

Pound Sterling

The currency of the United Kingdom, commonly known as the pound and symbolized as £.

Equilibrium

A state of balance within a system where forces or influences are equal and opposing, leading to no net change over time.