For the following observed and expected frequencies, compute the value of $\chi ^ { 2 }$
$\begin{array} { c | l l l l l }
\text { Observed } & 8 & 12 & 29 & 7 & 18 \
\hline \text { Expected } & 10 & 15 & 30 & 15 & 15
\end{array}$
A) 5.900
B) 9.488
C) 8.260
D) 11.070

Question

For the following observed and expected frequencies, compute the value of $\chi ^ { 2 }$
$\begin{array} { c | l l l l l } 
\text { Observed } & 8 & 12 & 29 & 7 & 18 \
\hline \text { Expected } & 10 & 15 & 30 & 15 & 15
\end{array}$
A) 5.900
B) 9.488
C) 8.260
D) 11.070

Quizplus · Accepted Answer

The chi-square statistic is calculated using the formula $\chi^2 = \sum \frac{(O_i - E_i)^2}{E_i}$, where $O_i$ and $E_i$ are the observed and expected frequencies, respectively. Calculating for each pair: $\frac{(8-10)^2}{10} + \frac{(12-15)^2}{15} + \frac{(29-30)^2}{30} + \frac{(7-15)^2}{15} + \frac{(18-15)^2}{15} = 5.900$.

For the Following Observed and Expected Frequencies, Compute the Value χ2\chi ^ { 2 }χ2

For the Following Observed and Expected Frequencies, Compute the Value $\chi ^ { 2 }$