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

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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.  Vaccinated  Placebo  Control  Caught the flu 81921 Did not catch the flu 14216179\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


Definitions:

Biochemical Traits

Characteristics at the molecular level, involving chemical processes and substances which occur within living organisms.

Autotrophs

Organisms capable of producing their own organic compounds from simple substances like carbon dioxide, often through photosynthesis, without relying on other organisms for food.

Green Algae

A diverse group of photosynthetic organisms found in various aquatic environments.

Bryophyte

A group of plant species that includes mosses, liverworts, and hornworts, characterized by their non-vascular nature and life cycle.

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