A random sample of 2400 people are asked in a poll if they approve of a government proposal to develop new nuclear power plants. (a) If 40 percent of the people in the country are in favour of this proposal, fi nd the expected value and the variance for the number S2400 of people in the sample who voted in favour of the proposal. (b) Suppose that the government runs its own poll and claims that 56% of respondents were in favour of developing new nuclear power plants. If you know that the true proportion is 40%, do you have reason to be suspicious of the government's claim? Support your answer with appropriate calculations.