A sample of 150 individuals males and females) was surveyed, and the individuals were asked to indicate their yearly incomes. Their incomes were categorized as follows.
$$\begin{array} { l l l l }
\text { Category 1 } & \$ 20,000 & \text { upto } & \$ 40,000 \
\text { Category 2 } & \$ 40,000 & \text { upto } & \$ 60,000 \
\text { Category 3 } & \$ 60,000 & \text { upto } & \$ 80,000
\end{array}$$ The results of the survey are shown below.
$$\begin{array} { l c c }
\text { Income Category } & \text { Male } & \text { Famale } \
\text { Category 1 } & 10 & 30 \
\text { Category 2 } & 35 & 15 \
\text { Category 3 } & 15 & 45
\end{array}$$ We want to determine if yearly income is independent of gender.
a. Compute the test statistic.
b. Using the p-value approach, test to determine if yearly income is independent of gender.

Question

A sample of 150 individuals males and females) was surveyed, and the individuals were asked to indicate their yearly incomes. Their incomes were categorized as follows.
 $$\begin{array} { l l l l } 
\text { Category 1 } & \$ 20,000 & \text { upto } & \$ 40,000 \
\text { Category 2 } & \$ 40,000 & \text { upto } & \$ 60,000 \
\text { Category 3 } & \$ 60,000 & \text { upto } & \$ 80,000
\end{array}$$ The results of the survey are shown below.
 $$\begin{array} { l c c } 
\text { Income Category } & \text { Male } & \text { Famale } \
\text { Category 1 } & 10 & 30 \
\text { Category 2 } & 35 & 15 \
\text { Category 3 } & 15 & 45
\end{array}$$ We want to determine if yearly income is independent of gender. 
a. Compute the test statistic.
b. Using the p-value approach, test to determine if yearly income is independent of gender.

Quizplus · Accepted Answer

The Answer of A sample of 150 individuals males and females) was surveyed, and the individuals were asked to indicate their yearly incomes. Their incomes were categorized as follows.
 $$\begin{array} { l l l l } 
\text { Category 1 } & \$ 20,000 & \text { upto } & \$ 40,000 \
\text { Category 2 } & \$ 40,000 & \text { upto } & \$ 60,000 \
\text { Category 3 } & \$ 60,000 & \text { upto } & \$ 80,000
\end{array}$$ The results of the survey are shown below.
 $$\begin{array} { l c c } 
\text { Income Category } & \text { Male } & \text { Famale } \
\text { Category 1 } & 10 & 30 \
\text { Category 2 } & 35 & 15 \
\text { Category 3 } & 15 & 45
\end{array}$$ We want to determine if yearly income is independent of gender. 
a. Compute the test statistic.
b. Using the p-value approach, test to determine if yearly income is independent of gender.

A Sample of 150 Individuals Males and Females) Was Surveyed