# A study compared women who viewed high levels

A study compared women who viewed high levels of television violence as children with those who did not in order to study the differences with regard to physical abuse of their partners as adults. Use the table shown below to calculate the observed value of the chi-square statistic. The table shows both actual counts and expected counts (in parentheses).

The chi-square statistic is ${\chi }^{2}=\square$

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Thonbrunnhng
The formula for calculating the chi-square test statistic is,
${\chi }^{2}=\sum \frac{{\left(O-E\right)}^{2}}{E}$
Where O=Observed counts, E=Expected counts
The value of chi-square test statistic is,
${\chi }^{2}=\sum \frac{{\left(O-E\right)}^{2}}{E}$
$=\frac{{\left(14-8.42\right)}^{2}}{8.42}+\frac{{\left(26-31.58\right)}^{2}}{31.58}+\frac{{\left(22-27.58\right)}^{2}}{27.58}+\frac{{\left(109-103.42\right)}^{2}}{103.42}$
$=3.69791+0.985953+1.128949+0.301067$
$=6.113879\sim 6.11$
Therefore, the chi-square test statistic is 6.11.
Etallemms