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 the 0.1 significance level.Table of number of people in each sub-category. Data Drug A Drug B Had stroke 13 24 No stroke 107 106 a) Identify the correct alternative hypothesis for this test. There is a relationship between having a stroke and which drug is taken. 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. Round numeric answers to 3 decimal places.b) The χ2test statistic value is:   c) The P-value is:

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Problem 6E: List the sample space of each experiment. Tossing three coins
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 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 the 0.1 significance level.

Table of number of people in each sub-category.

Data Drug A Drug B
Had stroke 13 24
No stroke 107 106



a) Identify the correct alternative hypothesis for this test.

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

Round numeric answers to 3 decimal places.

b) The χ2test statistic value is:   

c) The P-value is: 

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