Question: a. Show the sampling distribution of , the sample proportion of households spending more than per week on groceries. (to decimals) (to decimals) b. What

a. Show the sampling distribution of , the sample proportion of households spending more than per week on groceries. (to decimals) (to decimals) b. What is the probability that the sample proportion will be within of the population proportion (to decimals)? c. Answer part (b) for a sample of households (to decimals).

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 p, the sample proportion of households spending more than $100 per week on groceries. E(p) = (to 2 decimals) Os = (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. Answer part (b) for a sample of 1,600 households (to 4 decimals)

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