The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a product's label. Assume the population proportion is p .76 and a sample of 400 consumers is selected from the population.
a. Show the sampling distribution of the sample proportion where is the proportion of the sampled consumers who read the ingredients listed on a product's label.
b. What is the probability that the sample proportion will be within .03 of the population proportion?