. Researchers are investigating whether high-risk patients have strokes or not depending on which of two drugs they take. Sample subjects are randomly assigned to take Drug A or to take Drug B. The...



. Researchers are investigating whether high-risk patients have strokes or not depending on which of two drugs they take. Sample subjects are randomly assigned to take Drug A or to take Drug B. The number of subjects who had a stroke in a five year period is counted. Researchers want to check whether the two categorical variables (having a stroke or not; which of drug A or B is taken) are related. Test at the0.1 significance level.


Table of number of people in each sub-category.





















Data
Drug ADrug B

Had stroke
214

No stroke
99126





a) Identify the correct alternative hypothesis for this test.






  • Having a stroke and which drug is taken are independent.

  • There is no relationship between having a stroke and which drug is taken.

  • Having a stroke varies much more than the proportions for which drug is taken.

  • There is a relationship between having a stroke and which drug is taken.



Round numeric answers to 3 decimal places.


b) The χ2χ2test statistic value is:


c) The P-value is:


d) Based on this, we




  • Reject H0H0

  • Do not reject H0H0







e) Which means




  • The data is not strong enough to support that there is a significant relationship between the two variables.

  • The two variables are mutually exclusive.

  • There is definitely no relationship between the two variables.

  • There is a significant relationship between the two variables.




Jun 10, 2022
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