111e 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 zitable. a. ShowI the sampling distribution of, the sample proportion of households spending more than $100 per week on groceries. E5} 2 (to 2 decimals) a\"; = (to 4 decimals) b. what is the probability that the sample proportlon will be within 0.02 of the population proportion (to 4 decimals)? c. Answer part [b] for a sample of 1600 households [to 4 decimals)