A city councilor asks your advice on how many householders should be polled in order to gauge the support for a tax increase to build more schools. The councilor wants to assess the support to within ±5% with 95% confidence. What sample size would you recommend if the councilor advises you that the householders may be evenly split on the issue? What if the councilor advises you that fewer than one in three householders are likely to support the tax increase?