One Hundred People Are Selected at Random and Tested for Colorblindness

question 4

Essay

One hundred people are selected at random and tested for colorblindness to determine whether
gender and colorblindness are independent. The following counts were observed.
Colorblind Not Colorblind Total $\begin{array}{|l|c|c|c|}\hline & \text { Colorblind } & \text { Not Colorblind } & \text { Total } \\\hline \text { Male } & 8 & 52 & 60 \\\hline \text { Female } & 2 & 38 & 40 \\\hline \text { Total } & 10 & 90 & 100 \\\hline\end{array}$

If gender and colorblindness are independent, find the expected values corresponding to the four combinations of gender and colorblindness, and enter them in the following table along with row

$\begin{array}{|l|l|l|l|}\hline & \text { Colorblind } & \text { Not Colorblind } & \text { Total } \\\hline \text { Male } & & & \\\hline \text { Female } & & & \\\hline \text { Total } & & & \\\hline\end{array}$

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Definitions:

Six Cylinders

Referring to an internal combustion engine with six cylinders arranged in a particular format for power generation.

Correct Verb

A verb that accurately aligns with the subject in terms of number and tense, ensuring grammatical correctness.

Springfield Science Museum

A museum dedicated to the promotion of scientific understanding, likely located in Springfield, though there are multiple Springfields so the exact location may vary.

Independent

Not influenced by or contingent upon something else; autonomous or having the freedom to act separately.