Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1000 randomly sampled Greeks in 2011 and found that 25% of them said they would rate their lives poorly enough to be considered “suffering”. a) Construct a 95% confidence interval for the proportion of Greeks who are “suffering”. Show your calculation. b) Verify that the conditons necessary for creating a confidence interval are met.

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