Practice Another You may need to use the appropriate appendix table 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 800 households will be selected from the population. (a) Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. P p -1.83 -0.83 0.17 1.17 2.17 0.17 0.144 0.157 0.183 0.196 P Oo 0 0 -0.026 -0.013 0.013 0.026 co 0 . A -0.013 0 0.013 0 0.026 0.039 (b) What is the probability that the sample proportion will be within +0.02 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.)