A random sample of n = 200 students is taken from a large university where 30% have a campus job.
Which statement best describes the sampling distribution of p̂?
- Acheck_circle
Approximately normal because np = 60 ≥ 10 and n(1-p) = 140 ≥ 10.
- B
Cannot be determined without σ.
- C
Exactly normal because the population is large.
- D
Skewed right because p < 0.5.
Explanation
Large Counts is satisfied (60 ≥ 10 and 140 ≥ 10), so p̂ is approximately normal.