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Suppose there is an investigation into the relationship between taking aspirin and risk of heart attack. Suppose 105 of the 1

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Answer #1

The observed counts given by the problem is tabulated as follows.

Yes No Total
Aspirin 105 10929 11034
Placebo 188 10847 11035
Total 293 21776 22069

(a) The expected counts are given by,

Yes No Total
Aspirin 146.49 10887.51 11034
Placebo 146.51 10888.49 11035
Total 293 21776 22069

(b) The chisquare statistic can be obtained by,

\chi^2=\sum \frac{(observed\,frequency-expected\,frequency)^2}{expected\,frequency}=23.82068044=23.82

(c) The Chi square statistic of 23.82 is larger than the cut off of 6.63 required for a level 0.01, so the relationship is statistically significant. We can conclude that there is a relationship between taking aspirin and risk of a heart attack in the population.

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