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 ṕ where ṕ 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?

c. Answer part (b) for a sample of 750 consumers.