SOLUTION: 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 sur

Question 476447: 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 (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)?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a. the sampling distribution of proportions would be normally distributed, , or N(0.12,0.014). , and .
b. we want the probability under the standard normal table between
and

==>
c. this follows the same procedure as in (b).
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