. 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 21 4 No stroke 99 126 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.

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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 21 4
No stroke 99 126



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.
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