The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.
a. Show the sampling distribution of ṕ, the sample proportion of households spending more than $100 per week on groceries.
b. What is the probability that the sample proportion will be within ±.02 of the population proportion?
c. Answer part (b) for a sample of 1600 households.