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.
1. Calculate ? ( ), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
2. What is the probability that the sample proportion will be within +/- .02 of the population proportion (to 4 decimals)?
3. 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)?