In: Statistics and Probability
The Food Marketing Institute shows that 18% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.18 and a sample of 700 households will be selected from the population. Use z-table.
Calculate (), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)?
What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,600 households (to 4 decimals)?