of blood pressure as a prognostic sign using Pearson's Chi-Squared Test. Be sure to provide the following:  Define the parameter(s) of interest. State the null and alternative hypotheses. State the significance level. State what type of test you will perform and why you chose to use the test. State and check any necessary assumptions. Check assumptions by hand showing all calculations. State your test statistic and its null distributi

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A research report on a prospective study states that: “A comparison of the 90 normal patients with the 50 patients with hypotension shows that only 3.33% of the former group died as compared to 30% of the latter.”

(a) Calculate the sample odds ratio, construct a 95% confidence interval, and provide an interpretation

(b) Test the significance of blood pressure as a prognostic sign using Pearson's Chi-Squared Test. Be sure to provide the following: 

  • Define the parameter(s) of interest.
  • State the null and alternative hypotheses.
  • State the significance level.
  • State what type of test you will perform and why you chose to use the test.
  • State and check any necessary assumptions. Check assumptions by hand showing all calculations.
  • State your test statistic and its null distribution.
  • Give the output of the hypothesis test from R. Verify the calculation of the test statistic by hand.  You do not have to verify the P-value by hand. 
  • State the decision rule.
  • State your conclusion in the context of the problem. Be sure to include the P-value.
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