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. People end up tossing 10% of what they buy at the grocery store. Assume this...

. 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 your survey will provide a sample proportion within ±0.04 of the population proportion? c. What is the probability that your survey will provide a sample proportion within ±0.025 of the population proportion?

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Answer #1

a)

We know that the distribution of sample proportion is:

b)

Required probability =

c)

Required probability =

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