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The General Social Survey recently asked 1,294 randomly selected Americans whether they performed any volunteer work...

  1. The General Social Survey recently asked 1,294 randomly selected Americans whether they performed any volunteer work during the past year. A total of 617 people said they did. A sociologist states that half of all Americans perform volunteer work in a given year. Test the hypothesis that less than half of all Americans perform volunteer work. Use a significance level of 5%.   
  1. State the null and alternative hypotheses [4]

  1. Check the assumptions [3]
  1. Give the test statistic [2]

  1. Give the P-value and the conclusion reached about the null hypothesis based on the P-value [2]
  1. Summarize the final conclusion in the context of the claim [2]

  1. Construct the corresponding confidence interval [3]

  1. Find the margin of error for confidence interval above [2]

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