A researcher wishes to estimate, with

90%

confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within

3%

of the population proportion.(a) No preliminary estimate is available. Find the minimum sample size needed.(b) Find the minimum sample size needed, using a prior study that found that

36%

of the respondents said they eat fast food four to six times per week.(c) Compare the results from parts (a) and (b).