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The Food Marketing Institute shows that 1 7 % of households spend more than $ 1 0 0 per week on groceries. Assume the population

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. Use the z-table.
a. Show the sampling distribution of ?bar(p), the sample proportion of households spending more than $100 per week on groceries.
E(?bar(p))=(to2 decimals)
?bar(p)=(to4 decimals)
b. What is the probability that the sample proportion will be within \pm 0.02 of the population proportion (to 4 decimals)?
c. Answer part (b) for a sample of 1600 households (to 4 decimals).
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