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Chi square test of independence

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In an epidemic of a certain disease, 920 children contracted the disease. Of these, 400 received no treatment, and of those, 98 suffered after-effects. Of the remainder who did receive treatment, 162 suffered after-effects. Show that chi squared = 4.90 and test the hypothesis that the treatment was not effective.

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This solution shows how to conduct a chi-square test of independence. All calculations and detailed explanations are included.

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Chi squared

In an epidemic of a certain disease, 920 children contracted the disease. Of these, 400 received no treatment, and of those, 98 suffered after-effects. Of the remainder who did receive treatment, 162 suffered after-effects. Show that chi squared = 4.90 and test the hypothesis that the treatment was not effective.

In this problem the most important step is to arrange the data into what is called a "contingency table". I have done that for this problem in the table below. Each of the four cells within the table contains the ...

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