Question: The Grocery Manufacturers of America reported that 76% of consumers read the ingrecients listed on a products 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 P¯, where P¯ is the pro-portion of the sampled consumers who read the ingredients listed on a products label.
b. What is the probability that the sample proportion will be within -1-.03 of the population proportion?
c. Answer part (b) far a sample of 750 consumers.