# Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes) cell in the two-way table below. begin{array}{|c|c|c|}

Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes) cell in the two-way table below.

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.
Expected count=?
contribution to the chi-square statistic=?
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Step 1 Given information

Step 2 Expected value is given by

$\begin{array}{|ccc|}\hline & \text{Yes}& \text{No}\\ \text{Group 1}& \frac{1885×987}{2485}=748.7& \frac{600×987}{2485}=238.3\\ \text{Group 2}& \frac{1885×1498}{2485}=1136.3& \frac{600×1498}{2485}=361.7\\ \hline\end{array}$

Test statistic ${x}^{2}=\sum \frac{\left({O}_{i}-{E}_{i}{\right)}^{2}}{{E}_{i}}$
${x}^{2}=\frac{\left(710-748.7{\right)}^{2}}{748.7}+\frac{\left(277-238.3{\right)}^{2}}{238.3}+\frac{\left(1175-1136.3{\right)}^{2}}{1136.3}+\frac{\left(323-361.7{\right)}^{2}}{361.7}=13.737$