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A random sample of 1000 adult Americans was surveyed about their activity level and sleep quality. Survey participants were classified into one of four activity

A random sample of 1000 adult Americans was surveyed about their activity level and sleep quality. Survey participants were classified into one of four activity levels (none, light, moderate, and vigorous). Each participant was also classified into one of two sleep categories. The accompanying table gives a summary of the responses along with the expected counts.

Cell format
Count (Expected count)

Poor Sleep Quality Good Sleep Quality Total
No activity 40 (21.96) 50 (68.04) 90
Light 116 (117.12) 364 (362.88) 480
Moderate 57 (61) 193 (189) 250
Vigorous 31 (43.92) 149 (136.08) 180
Total 244 756 1000

The P-value StatCrunch calculated is <0.0001.

Is there evidence of an association between level of activity and sleep quality?

  1. What type of hypothesis test is appropriate to conduct in order to answer this question and why?
  2. State the null and alternative hypotheses.
  3. Explain what the conditions are to conduct this hypothesis test and explain whether or not they were met.
  4. Compare the P-value to a 0.10 level of significance and state whether you fail to reject or reject the null hypothesis.
  5. Interpret your conclusion from part D in context of the research question.

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