CoursHeroTranscribedText: 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 , the sample proportion of households spending more than $100 per week on groceries. E(p)= (to 2 decimals) a5 = (to 4 decimals) b. What is the probability that the sample preportion will be within #0.02 of the population propoertion (to 4 decimals)? c. Answer part (b) for a sample of 1600 households (to 4 decimals)