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7) Suppose p represents the proportion of people in the U.S. who support the new law. Suppose the sampling distribution for p is normal. Suppose

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7) Suppose p represents the proportion of people in the U.S. who support the new law. Suppose the sampling distribution for p is normal. Suppose a sample size is n = 1460 is taken and in that sample 470 people favor the new law. a) Calculate the sample proportion. (3 points) b) Now suppose 35% = 0.35 of the population (not the sample) said they favor the new law. Find the probability of having a sample with size n = 1460 where at most 470 people favor the new law. Show your work. (8 points)

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