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. use z-table. show the sampling distribution of ( ), the proportion of groceries thrown out by your sample respondents (to 4 decimals). p = standard error of the proportion σ( ) = what is the probability that your survey will provide a sample proportion within ±.03 of the population proportion (to 4 decimals)? what is the probability that your survey will provide a sample proportion within ±.015 of the population proportion (to 4 decimals)?