Concept explainers
To explain do the data provide convincing evidence of a difference in the effectiveness of the four treatments and carry out an appropriate test at the
Answer to Problem 40E
Yes, the data provide convincing evidence of a difference in the effectiveness of the four treatments.
Explanation of Solution
In the question, it is given that aspirin prevents blood from clotting and so help prevent strokes. Thus, the data on the strokes for the two-year study is given in the question. Thus, the summary of these data in a two-way table can be represented as:
Thus, the expected counts are the row total multiplied by the column total, divided by the sample size
Thus, the chi-square statistic is the sum of squared deviations between observed and expected counts divided by the expected count as:
The degrees of freedom is calculated as:
Thus, the interval for the P-value can then be found in table C in the column title which have
As we know that if the P-value is smaller than the significance level, then the null hypothesis is rejected. Thus, we have,
Thus, we conclude that there is sufficient evidence that there is an association between the variables. Yes, the data provide convincing evidence of a difference in the effectiveness of the four treatments.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
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