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. calculate σ(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 +/- .02 of the population proportion (to 4 decimals)?

c. what is the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households (to 4 decimals)?

show all steps and formulas