People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior.

What is the expected value and standard deviation of p bar?

Is the normal distribution an appropriate approximation for the sampling distribution of ? Why or why not?

What is the probability that your survey will provide a sample proportion within +/-0.03 of the population proportion?