Question: A local United Way chapter is interested in testing if employment status relates to volunteering. They collect a random sample of 150 local adult residents.

  1. A local United Way chapter is interested in testing if employment status relates to volunteering. They collect a random sample of 150 local adult residents.

Employment Volunteers Does Not Volunteer

Full-Time 25 20

Part-time 13 9

Unemployed 8 20

Retired 35 20

  1. Select and justify the best test(s). The chi-square, Phi, Yates, or Lambda (or even a combination) might be best for a problem given the data and research question. Do not assume the independent is always on the row.
  2. Provide the null and alternative hypotheses in formal and plain language for the appropriate test at the 0.05 significance level.
  3. Do the math and reject/retain null at a=.05. State your critical value.
  4. Explain the results in plain language.

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