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

Analyze dietary choices and their impact on health.

Develop strategies for time management and balancing personal, academic, and professional responsibilities.

Understand the risks associated with substance misuse and over-the-counter medication abuse.

Recognize the signs of potential mental health issues and the importance of seeking professional help.

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Definitions:

Form 1040EZ

A simplified tax form for individual federal income tax returns filed with the IRS, designed for taxpayers with basic tax situations.

Tax Tables

Charts provided by the IRS that display tax rates and thresholds for different filing statuses and income levels to calculate tax liability.

Sixteenth Amendment

An amendment to the U.S. Constitution that allows Congress to levy an income tax without apportioning it among the states or basing it on the U.S. Census.

U.S. Constitution

The supreme law of the United States that establishes the national government's framework and the fundamental rights of its citizens.