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.
a. Calculate the sampling distribution of p, the proportion of households spending more than $100 per week on groceries.
E(p)= (to 2 decimals)
σp = (to 4 decimals)
b. What is the probability that the sample proportion will be within ±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)?