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Exercise 31

Avg difficulty 3.0

Unemployment and relationship problems. A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with their spouse or another close family member as a result of not having a job (if unemployed) or not having a full-time job (if underemployed). 27% of the 1,145 unemployed respondents and 25% of the 675 underemployed respondents said they had major problems in relationships as a result of their employment status.

  1. What are the hypotheses for evaluating if the proportions of unemployed and underemployed people who had relationship problems were different?

  2. The p-value for this hypothesis test is approximately 0.35. Explain what this means in context of the hypothesis test and the data.

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Foundations for inference, End-of-Chapter Exercises, Exercise 31

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.