In this weeks reading, we discussed different types of samples, their distributions, sampling errors, probabilities, and confidence intervals.  Using the appropriate support tool, sequence, and equations, complete Problem 33 in Chapter 8 on page 351.

Problem 8-33. You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 2% of the actual value? Show work.