The Food Marketing Institute shows that 15% of households spend
more than $100 per week on groceries. Assume the population
proportion is p = 0.15 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 1,200
households (to 4 decimals)?