. 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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