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Question 2 A survey asks a random sample of 1500 adults in Virginia if they support an increase in the sales tax from 5% to 6%, with the additional revenue going to education. Let p denote the proportion in the sample who say they support the increase. Suppose that 40% of all adults in Virginia support the increase. A.) Find the probability that p takes a value between 0.37 and 0.43. (5 points) B.) whats the probability that a majority of the adults in Virginia support the increase? (2 points) C.) How large a sample would be needed to guarantee that the standard deviation of p is no more than 0.01? man but what does no more than mean? Think about how you Show your work. (Hint use the formula:0p- will want to round up or down?) (2 points)D.) Is the probability calculated in part A larger or smaller than would be the case if n 200? Answer without actually calculating this latter probability. 2 points)

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