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

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.