The Food Marketing Institute shows that 17% of households spend more than  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. Calculate the sampling distribution of p bar, the proportion of households spending more than $100  per week on groceries.  E(p bar)   (to 2 decimals) 0~p bar    (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  1600 households (to 4 decimals)?

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The Food Marketing Institute shows that 17% of households spend more than  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.

Calculate the sampling distribution of p bar, the proportion of households spending more than $100  per week on groceries.

 E(p bar)   (to 2 decimals)

0~p bar    (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  1600 households (to 4 decimals)?

 

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