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:

Time Of Purchase

The specific point in time when goods or services are bought, which can influence the cost and availability.

Materials Price Variance

The difference between the actual cost of materials purchased and the expected cost of materials, adjusted for the actual quantity purchased.

Production Line

An arrangement of machines and workers in a factory where a product passes sequentially from operation to operation until completed.

Waste

Unwanted materials or substances produced by a manufacturing process or during consumption, often associated with inefficiency or environmental harm.