One Hundred People Are Selected at Random and Tested for Colorblindness

question 13

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.
$$\begin{array} { | l | c | c | c | } \hline & \text { Colorblind } & \text { Not Colorblind } & \text { Total } \\\hline \text { Male } & 7 & 53 & 60 \\\hline \text { Female } & 1 & 39 & 40 \\\hline \text { Total } & 8 & 92 & 100 \\\hline\end{array}$$
If gender and colorblindness are independent, find the expected values corresponding to the four combinations of gender and colorblindness, and enter them in the table below along with row and column totals.
$$\begin{array} { | l | l | l | l | } \hline & \text { Colorblind } & \text { Not Colorblind } & \text { Total } \\\hline \text { Male } & & & \\\hline \text { Female } & & & \\\hline \text { Total } & & & \\\hline\end{array}$$

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Definitions:

Undue Hardship

A situation where accommodations or changes, typically required by law, would result in significant difficulty or expense for an employer or institution.

Right of Disaffirmation

A legal right allowing minors to void contracts they have entered into, based on their incapacity to fully understand the terms.

Ratified

Formally approved or confirmed, often in the context of treaties, contracts, or legislative acts.

Promissory Note

A written, legally binding document in which one party promises to pay another a definite sum of money either on demand or at a fixed future date.