91Ó°ÊÓ

Given data:

A simple random sample of this year's U.S. residents gave the following frequency distribution.

Individuals who are being examined form the population. As a result, only U.S. residents are taken into account.

The subject of investigation is the variable. As a result, the region is the factor to consider.

Given data:

A simple random sample of this year's U.S. residents gave the following frequency distribution.

The hypotheses:

$H_0$: The resident population distribution by region for this year is same to the resident population distribution for the year $2000$.

$H_a$: The resident population distribution by region for this year differs from the resident population distribution for the year $2000$.

$\mathrm{Î\pm }=5\%$

$=0.05$

Calculate the observed frequencies and chi-square subtotals as follows:

localid="1653750249413" $\begin{array}{|llll|}\hline p& O& E=1500p& (O-E{)}^2/E\\ 0.19& 259& 285& 2.3719\\ 0.229& 306& 343.5& 4.0939\\ 0.356& 568& 534& 2.1648\\ 0.225& 367& 337.5& 2.5785\\ \text{Sum}& 1500& & 11.2091\\ \hline\end{array}$

${\mathrm{χ}}^2=11.2091$

Determine the critical value using Table $\mathrm{V}$with $df=4-1$

$=3$:

${\mathrm{χ}}_{0.05}^2=7.815$

$11.2091>7.815⇒\text{Reject}{H}_0$