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[Step-by-Step] According to Harpers Index, 43% of white-collar workers surveyed in the US said they had brought work with them on vacation last year. Suppose

Question: According to Harpers Index, 43% of white-collar workers surveyed in the US said they had brought work with them on vacation last year. Suppose that Harpers is correct. A random sample of n = 60 is selected.

  1. Describe the sampling distribution of the sample proportion (i.e., what’s its shape, mean and standard deviation?)
  2. What is the probability that the sample proportion exceeds 0.5?
  3. What is the probability that the sample proportion lies within the interval .30 and .50?
  4. What might you conclude about Harpers Index if you found only 20% of workers in the sample reported they had brought work with them on vacation? (Your answer should be supported with some calculations.)

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