The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is 0.17 and a simple random sample of 800 households will be selected from the population. Use 2-table. a. Calculate the sampling distribution of the proportion of households spending more than $100 per week on groceries. EP) (to 2 decimals ON (to 4 decimals) b. What is the probability that the sample proportion will be within 3:0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +0.02 of the population proportion for a sample of 1600 households (to 4 decimals)