A Sample of 150 Individuals Males and Females) Was Surveyed

Essay

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.