One Hundred People Are Selected at Random and Tested for Colorblindness

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.

$\begin{array}{|l|c|c|c|}\hline & \text { Colorblind } & \text { Not Colorblind } & \text { Total } \\\hline \text { Male } & 8 & 52 & 60 \\\hline \text { Female } & 2 & 38 & 40 \\\hline \text { Total } & 10 & 90 & 100 \\\hline\end{array}$
If gender and colorblindness are independent, find the expected values corresponding to the four combinations of gender and colorblindness, and enter them in the table below along with row and column totals.

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