in this week s 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 below

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.