A researcher wishes to estimate, with 95% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3% of the true 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 42% of the respondents said they think their president can control the price of gasoline.c) Compare the results from parts (a) and (b).