A study has p = 0.02 (rare event) and n = 200.
Is the sampling distribution of p̂ approximately normal?
- A
No, because p < 0.5.
- B
Yes, because n(1-p) = 196.
- Ccheck_circle
No, because np = 4 < 10.
- D
Yes, because n is large.
Explanation
Large Counts requires both np ≥ 10 and n(1-p) ≥ 10. Here np = 4 fails.