The Food Marketing Institute shows that 17\%17% of households spend more than $$100$ per week on groceries. Assume the population proportion is p = .17p=.17 and a simple random sample of 800800 households will be selected from the population. a. Show the sampling distribution of \bar{p} pˉ , the sample proportion of households spending more than $$100$ per week on groceries.
b. What is the probability that the sample proportion will be within \pm .02±.02 of the population proportion?
c. Answer part (b) for a sample of 16001600 households.