A May 26, 2020 Gallop poll reported on daily stress before the COVID-19 pandemic and during it. For purposes of educational practice, similar data is used for this problem, refer to if interested in the Gallup report and resource links. During COVID-19, 51% of the 2263 male and 62% of the 837 female SBOs reported feeling daily stress (this is an increase over prior reports of daily stress). (a) What are the hypotheses for evaluating if the proportions of male and female small business owners feeling daily stress were different? __Ho: pmale = pfemale Ha: pmale < pfemale __Ho: pmale = pfemale Ha: pmale > pfemale __Ho: pmale = pfemale Ha: pmale ≠ pfemale  (b) The p-value for this hypothesis test is approximately 0.0002 Explain what this means in context of the hypothesis test and the data. Since p ≥ α we do not have enough evidence to reject the null hypothesis Since p<α we reject the null hypothesis and accept the alternative Since p ≥ α we accept the null hypothesis Since p ≥ α we reject the null hypothesis and accept the alternative

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A May 26, 2020 Gallop poll reported on daily stress before the COVID-19 pandemic and during it. For purposes of educational practice, similar data is used for this problem, refer to if interested in the Gallup report and resource links. During COVID-19, 51% of the 2263 male and 62% of the 837 female SBOs reported feeling daily stress (this is an increase over prior reports of daily stress).

(a) What are the hypotheses for evaluating if the proportions of male and female small business owners feeling daily stress were different?

  1. __Ho: pmale = pfemale
    Ha: pmale < pfemale
  2. __Ho: pmale = pfemale
    Ha: pmale > pfemale
  3. __Ho: pmale = pfemale
    Ha: pmale ≠ pfemale

 (b) The p-value for this hypothesis test is approximately 0.0002 Explain what this means in context of the hypothesis test and the data.

  1. Since p ≥ α we do not have enough evidence to reject the null hypothesis
  2. Since p<α we reject the null hypothesis and accept the alternative
  3. Since p ≥ α we accept the null hypothesis
  4. Since p ≥ α we reject the null hypothesis and accept the alternative

 

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