In Order to Test a Claim About the Effectiveness of a Flu

In order to test a claim about the effectiveness of a flu vaccine,150 people were vaccinated,180 people were vaccinated with a placebo,and 100 people were not vaccinated.The number in each group who later caught the flu was recorded.The researcher wishes to test the claim that the proportion of people who catch the flu is the same for all three groups.The results are shown below. $\begin{array}{r|ccc} & \text { Vaccinated } & \text { Placebo } & \text { Control } \\\hline \text { Caught the flu } & 8 & 19 & 21 \\\text { Did not catch the flu } & 142 & 161 & 79\end{array}$ Test statistic: χ2 = 14.965
P-value = 0.0005627

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We reject the null hypothesis that the p...

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