You may need to use the appropriate appendix table or technology to answer this question. 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 sample of 100 households will be selected from the population (a) Show the sampling distribution of the sample proportion of households spending more than $100 per week on groceries P -1.83 -0.33 0.17 1.17 2.17 0.144 0.157 0.17 0.183 0.190 00 P 0 0.013 -0.026 -0.013 0.026 -0.013 0 0.013 0.039 0.026 237 (b) What is the probability that the sample proportion will be within 10.02 of the population proportion? (Round your answer to four decimal places.) (c) Answer part (b) for a sample of 1,600 households. (Round your answer to four decimal places.)