APFIVE Probability of Difference in Sample Proportions
Question 10: In a study on fast-food restaurants, 25% of customers at a revamped restaurant leave at least 100 calories uneaten, whereas 19% do so at an unrevamped restaurant. Given independent samples of 110 and 120, respectively, what is the probability that the difference (revamped minus unrevamped) in proportions exceeds 10%?
| Restaurant Setting | Sample Size | Percentage Leaving ≥100 Calories |
|---|---|---|
| Revamped | 110 | 25% |
| Unrevamped | 120 | 19% |
A
$$0.768$$
B
$$0.100$$
C
$$0.500$$
D
$$0.232$$
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