A Researcher Wishes to Test the Effectiveness of a Flu

question 24

Essay

A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated,
180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in
each group who later caught the flu was recorded. The results are shown below. $$\begin{array} { r | c c c } & \text { Vaccinated } & \text { Placebo } & \text { Control } \\\hline \text { Caught the flu } & 8 & 19 & 21 \\\text { Did not catch the flu } & 142 & 161 & 79\end{array}$$ Use a 0.05 significance level to test the claim that the proportion of people catching the flu is the same in all three groups.

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Definitions:

MRSA Positive

Indicates the presence of Methicillin-resistant Staphylococcus aureus, a type of bacteria resistant to several antibiotics, creating treatment challenges.

Nasal Culture

A test in which a sample of secretion from the nose is taken to detect the presence of bacteria, viruses, or fungi.

Susceptible Host

An individual or organism that is vulnerable or lacks resistance to an infectious agent, thus at risk of becoming infected.

Salmonella Poisoning

An infection caused by Salmonella bacteria, often leading to gastrointestinal illness and symptoms such as diarrhea and vomiting.