please help!

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p=0.17 and a simple random sample of 800 households will be selected from the population. Use z-table. a. Calculate the sampling distribution of p, the proportion of households spending more than $100 per week on groceries. E(p)=(to2decimals)p=(to4decimals) b. What is the probability that the sample proportion will be within \pm 0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within \pm 0.02 of the population proportion for a sample of 1600 households (to 4 decimals)