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Chi-square independence test between two groups

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Teens were asked in the MTF 2008 survey how often they think about social issues (specific issues were not identified). The bivariate table includes responses organized by teen's race.

Test the null hypothesis that race and thinking about social issues are independent (a=0.05)

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The solution gives detailed steps on performing a chi-square test for independence test between two groups. All the formula and calcuations are shown and explained.

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Chi Square test of independence

The top executives of Company X would like to reduce the blood pressure of hapless employees. They came up with a miracle drug call MiracleOww. Unfortunately, there may be a side effect, abnormal anxiety, associated with the miracle drug. When they carried out a clinical test of the miracle drug, employees were randomly divided into three groups. Group 1 received MiracleOww, Group 2 received a placebo, and Group 3 receive Mavik, a new blood pressure reducing drug currently available. The clinical results are summarized in the following table.

Group 1
Group 2
Group 3

Number of employee who
experienced abnormal anxiety




Number of employee who did not
experience abnormal anxiety



Is there evidence to indicate that the proportion of employees in each group who experienced abnormal anxiety is different at 0.01 significance level?

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