Poverty in a Study of How the Burden of Poverty

Essay

Poverty In a study of how the burden of poverty varies among U.S. regions, a random sample of 1000 individuals from each region of the United States recently yielded the information on poverty (based on defining the poverty level as an income below $10,400 for a family of 4 people). The data are provided in the table below. (All the conditions are satisfied - don't worry about checking them.)
$\begin{array}{|l|c|c|c|c|c|}\hline& \text { Northwest } & \text { Midwest } & \text { South } & \text { West } & \text { Total } \\\hline \text { Poor } & 112 & 105 & 154 & 113 & 484 \\& (121) & (121) & (121) & (121) & \\\hline \text { Not Poor } & \begin{array}{c}888 \\(879)\end{array} & \begin{array}{c}895 \\(879)\end{array} & \begin{array}{c}846 \\(879)\end{array} & \begin{array}{c}887 \\(879)\end{array} & 3516 \\\hline \text { Total } & 1000 & 1000 & 1000 & 1000 & 4000 \\\hline\end{array}$

$\begin{array}{r}\chi^{2}=\quad 0.67+2.12+9.00+0.53+ \\0.09+0.29+1.24+0.07+ \\=14.01\end{array}$
$P=0.0029$
a. Write appropriate hypotheses.
b. How many degrees of freedom?
c. Suppose the expected values had not been given. Show exactly how to calculate the expected count in the first cell.
d. State your complete conclusion in context.