Researchers sample n = 25 from a city of 100,000 to estimate the proportion p with a hobby. Suppose p = 0.20.
Are the conditions for approximate normality of p̂ satisfied?
- A
No, because n(1-p) > 10.
- Bcheck_circle
No, because np = 5 < 10.
- C
Yes, because n < 0.10·100,000.
- D
Yes, because n > 20.
Explanation
np = 25(0.20) = 5 < 10, so Large Counts fails.