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 sample of 700 households will be selected from the population.

a. Calculate (p), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).

b. What is the probability that the sample proportion will be within +/- 0.03 of the population proportion (to 4 decimals)?

c. What is the probability that the sample proportion will be within +/- 0.03 of the population proportion for a sample of 1,200 households (to 4 decimals)?