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5. A random sample of 2000 voters yielded 530 who reported being in favor of changing the constitution to allow foreign born people to hold the office of President. A 99% confidence interval was constructed for the true proportion of people who are in favor of the change. The resulting interval was as follows: [0.240, 0.290]. If an immigrant group claims that the majority of the public supports the change, does this interval contradict their claim?
The provided interval contradicts the claim.