In a recent year, the Better Business Bureau settled 72% of complaints they received. You have been
hired by the Bureau to investigate complaints this year involving computer stores. You plan to select
a random sample of complaints to estimate the proportion of complaints the Bureau is able to
settle. Assume the population proportion of complaints settled for the computer stores is 0.72, as
mentioned above. Suppose your sample size is 170. Please answer the following questions, and
show your answers to 4 decimal places if possible.
a. What is the distribution of p?

b. What is the probability that the sample proportion will be within 4 percent of the population
proportion?