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The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a product's label. Assume that the population proportion 0.76 and a sample of 400 customers is selected from the population.

1. Show the sampling distribution of the sample proportion of customers who read the ingredients, i.e. find the mean and the standard deviation of the sampling distribution.
2. What is the probability that the sample proportion will be within 0.03 of the population proportion?
3. Answer previous question using a sample of 750 consumers.