The Following Table Shows the Number of Employees Who Called

question 48

Essay

The following table shows the number of employees who called in sick at a business for_
different days of a particular week. $$\begin{array} { r | c c c c c c c } \text { Day } & \text { Sun } & \text { Mon } & \text { Tues } & \text { Wed } & \text { Thurs } & \text { Fri } & \text { Sat } \\\hline \text { Number sick } & 8 & 12 & 7 & 11 & 9 & 11 & 12\end{array}$$ i)At the 0.05 level of significance, test the claim that sick days occur with equal frequency on
the different days of the week.
ii)Test the claim after changing the frequency for Saturday to 152. Describe the effect of this
outlier on the test.

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Definitions:

Social Behavior

Actions among individuals within the same species that are directed towards or influenced by other members of the same species, including cooperation, competition, and communication.

Inclusive Fitness Theory

A concept in evolutionary biology proposing that an organism's genetic success is derived not only from personal reproduction but also from supporting the reproduction of relatives.

Eusociality

A high level of organization in social animals characterized by cooperative brood care, division of labor, and overlapping generations within a colony.

Social Behavior

Interactions among individuals of the same species that influence the behavior of one another, often vital for survival and reproduction.