Suppose public opinion is split 65% against and 35% for increasing taxes to help bal- ance the federal budget. Suppose also that 500 people from the population are selected randomly and interviewed.

(a) [3 marks] Completely describe the sampling distribution of the sample proportion of people who are in favour of increasing taxes to help balance the federal budget.

(b) [4 marks] What is the probability the proportion favouring a tax increase is more than 30%?

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