2. A local ice cream shop takes a simple random sample of its customers to ask which flavor they prefer, chocolate or vanilla. (Participants had to choose one or the other.) Out of 300 people surveyed, 154 said they prefer chocolate. (a) Construct a "plug-in" box to represent your best guess for the relative numbers in the population of all customers who prefer chocolate to vanilla. (That is, let 1 denote chocolate and 0 denote vanilla). (b) What is the SD of your box in (a)? (c) Fill in the blanks: The percent of people in the population of all customers who prefer chocolate to vanilla is estimated to be ______%, and the estimated standard error is ______%. (d) Construct a 95%-confidence interval for the percent of people in the population of all customers who prefer chocolate to vanilla. Answer: (______%, ______%).