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The Food Marketing Institute shows that 16% of households spend more than $100 per week on...

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Basic Math

The Food Marketing Institute shows that 16% of households spendmore than $100 per week on groceries. Assume the populationproportion is p = 0.16 and a sample of 900 households willbe selected from the population. Use z-table.

  1. Calculate (), the standard error of the proportion ofhouseholds spending more than $100 per week on groceries (to 4decimals).

  2. What is the probability that the sample proportion will bewithin +/- 0.02 of the population proportion (to 4 decimals)?

  3. What is the probability that the sample proportion will bewithin +/- 0.02 of the population proportion for a sample of 1,300households (to 4 decimals)?

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