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

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.