A Study Was Conducted to Determine What Proportion of All $\hat { n p } \geq 15$

question 30

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