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.
a.Show the sampling distribution of ( ), the proportion of groceries thrown out by your sample respondents (to 4 decimals)?
b. What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion (to 4 decimals)?
c. What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion (to 4 decimals)?
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