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 and calculation of the test statistic is shown in the table
below. (All the conditions are satisfied - don'ft worry about checking them.)

$\begin{array}{l}\begin{array}{lll}\chi^{2}= & 0.67+2.12+9.00+0.53+ & 12.31+ \\& 0.09+0.29+1.24+0.07+ & 1.70\end{array}\\=14.01\\P=0.0029\end{array}$
a. Write appropriate hypotheses.
b. Suppose the expected values had not been given. Show exactly how to calculate the
expected count in the first cell.
c. How many degrees of freedom are there?
d. State your complete conclusion in context.