A Study Was Conducted to Determine What Proportion of All $\mathrm { n } \geq 30$

question 41

Short Answer

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

---

Definitions:

Total Real Output

The total value of all goods and services produced within a country adjusted for inflation or deflation.

Long-Term Growth

A process where the productive capacity of an economy increases over a long period, typically accompanied by higher living standards.

Economic Fluctuations

The ups and downs in economic activity, characterized by periods of expansion and contraction in GDP and other economic indicators.

Production Possibilities Curve

A graphical representation that shows the maximum quantity of one good that can be produced for every possible level of production of another good, assuming a fixed amount of resources.