5. Researchers are investigating whether high-risk patients have strokes or not

Question

5. 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 0.05 significance level.

Table of number of people in each sub-category.

a) Identify the correct alternative hypothesis for this test.:

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

Having a stroke and which drug is taken are independent.

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

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

Round numeric answers to 3 decimal places.

b) The 2test 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.

There is a significant relationship between the two variables.

There is definitely no relationship between the two variables.

The two variables are mutually exclusive.

Explanation / Answer

a) Identify the correct alternative hypothesis for this test.:

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

b) The 2test statistic value is:    0.067

c) The P-value is: 0.795

d) Based on this, we:

Do not reject H0

e) Which means:

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

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