Suppose public opinion is split 65% against and 35% for increasing taxes to help balance the federal budget. Suppose also that 500 people from the population are selected randomly and interviewed. Find the mean and variance of the sampling distribution of the sample proportion (in favour of increase). Describe the sampling distribution of the sample proportion of people who are in favour of increasing taxes to help balance the federal budget. What is the probability the proportion favouring a tax increase is more than 30%