Suppose That 45% of Customers at the Local Farmer's Market

Multiple Choice

Suppose that 45% of customers at the local farmer's market prefer plastic bags to paper bags, whereas 62% of customers at the local grocery store prefer plastic bags to paper bags. You plan to take a simple random sample of 40 farmer's market customers and 40 grocery story customers and survey their bag preferences. Define p ̂_F-p ̂_G as the difference in sample proportions that prefer plastic bags to paper bags between the two locations (farmer's market - grocery store) .
-Can we apply the normal approximation to the distribution of P_F-P_G?

A) Yes, because there are two samples.
B) Yes, because 0.45x40, 0.55x40, 0.62x40, and 0.38x40 are all greater than 10.
C) No, because whether a person prefers plastic bags to paper bags is a categorical variable.
D) No, because we are modeling a difference in proportions rather than a single proportion.