41. 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 simple random sample of 800 households will be selected from the population.

a. Show the sampling distribution of , 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.