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

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

---

Definitions:

Beta-Adrenergic Agents

Medications that stimulate beta-adrenergic receptors, affecting heart rate, airway openness, and blood vessel dilation.

Diuretics

Medications designed to increase the excretion of water and salts from the body, often used to treat high blood pressure and fluid retention.

Anticoagulants

Medications that help prevent blood clots by inhibiting the coagulation process in the bloodstream.

Semi-Fowler's Position

A bed position where the patient is seated in a fashion with the head of the bed raised by about 30-45 degrees, often used to promote respiratory function or alleviate pain.