(Answered) The food marketing institute shows thatnbsp17nbspof

Statistics

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)

σ_p= (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)?

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