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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 ( p¯ ), the proportion of groceries thrown out by your sample respondents
b- what is the probability that the sample proportion will be within ±.02 of the population proportion?
c- what is the probability that your survey will provide a sample proportion within ±.015 of the population proportion?

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