Concept explainers
(a)
To test whether is there any significant difference in proportion of stokes between these two treatments.
(a)
Explanation of Solution
Given the following information:
The test procedure:
The null and alternative hypothesis is given by
The test statistic is given by,
Reject the null hypothesis if
Calculation:
On substituting the given values the test statistic is given by
The critical value at 0.05 level of significance is
Since
(b)
To describe the Type 1 error and Type 2 error in this problem.
(b)
Explanation of Solution
Type 1 error is the mistakes in which we reject the proportion stoke in the treatment Aspirin and Aspirin with dipyridamole are same even though it is true.
Type 2 error is the mistakes in which we do not reject the proportion of the proportion stoke in the treatment Aspirin and Aspirin with dipyridamole are same even though it is not true.
Type 1 error is more dangerous since the chance that a null hypothesis which is not true will not be rejected. Therefore Type 1 error should be maintain under control.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
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