People end up tossing 10% of what they buy at the grocery store. Assume this is the true population proportion and that you plan to take a sample survey of 530 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 ±.04 of the population proportion? C: What is the probability that your survey will provide a sample proportion within ±.025 of the population proportion?

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People end up tossing 10% of what they buy at the grocery store. Assume this is the true population proportion and that you plan to take a sample survey of 530 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 ±.04 of the population proportion?


C: What is the probability that your survey will provide a sample proportion within ±.025 of the population proportion?

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