The chapter problem describes a situation in which 1009 consumers were surveyed and asked if they were comfortable having drones deliver their purchases, and 545 of them responded with "no." Section 9-2 discussed the formal hypothesis test of the claim that a majority of consumers are not comfortable with drones delivering their purchases. This project involves a different approach, which consists of simulations. The basic idea is to assume that there is a 0.5 probability of selecting a consumer and getting one not comfortable with the drones. Then we will simulate 1009 consumers using the 0.5 probability, and we will repeat this simulation 100 times to see how often the results are as extreme as or more extreme than the 545 "no" responses that were obtained. The simulation is essentially the same as repeating this process 100 times: toss 1009 coins to see if heads turn up 545 or more times.

Procedure: Press MATH, then select PROB on the top menu and select the menu item of randBin and press ENTER. Now enter 1009 for n, enter 0.5 for p, and enter 100 for repitions [on some TI 83/84 Plus calculator models enter these values, separated by a comma for randBin(1009, 0.5, 100)]. Patience is needed because it will take about 15 to 30 minutes to get results, but the calculator is basically doing 100 simulations of the process of randomly selecting 1009 consumers, where each has a probability of 0.5 of saying that they are not comfortable having drones deliver their purchases. Store the results in LI by pressing STOP 2ND 1 ENTER. It might be helpful to sort the results listed in LI (press STAT and select Sort A).

Making sense of it all: Among the 100 simulated surveys of 1009 consumers, how many of them resulted in 545 or more consumers who said "no"? What does that result suggest about 0.5 being the correct probability? What does that suggest abou the claim that "a majority of consumers are not comfortable with drones delivering their purchases"? Does the actual survey result of 545 consumers saying "no" support the claim that a majoirty of consumers are not comfortable with drones delivering their purchases?

Ending Question: Are most consumers comfortable with drones delivering their purchases?