A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions. (Round your answers up to the nearest integer.)

a) What sample size is necessary if the 95% CI forpis to have a width of at most0.14irrespective ofp?

b) If the legislator has strong reason to believe that at least6/7 of the electorate know of her position, how large a sample size would you recommend to maintain a width of at most0.14?