A polling firm samples n = 50 adults to estimate the proportion p who use a particular app, where p = 0.10.
Is the Large Counts condition satisfied?
- A
Yes, because both np and n(1-p) are positive.
- Bcheck_circle
No, because np = 5 < 10.
- C
No, because p < 0.5.
- D
Yes, because n = 50 ≥ 30.
Explanation
Large Counts requires np ≥ 10 and n(1-p) ≥ 10. Here np = 50(0.10) = 5 < 10, so the condition fails.