Question 10
9 pts
Supposed that another batch of recent data were gathered from the OUR of UP Mindanso and were recorded as follows:
\begin{tabular}{|l|c|c|c|c|}
\hline Gender & BS Biolagy & \begin{tabular}{c}
BS Food \\
Technology
\end{tabular} & \begin{tabular}{c}
BS Computer \\
Science
\end{tabular} & \begin{tabular}{c}
BS Applied \\
Mathematics
\end{tabular} \\
\hline Male & 10 & 6 & 21 & \( B \) \\
\hline Female & 22 & 15 & 11 & 12 \\
\hline
\end{tabular}
Fill out the following table. Express your answers in decimal form and round off to the neurest hundredths.
Compute for the expected values, \( E_{l j} \) -
\[
E_{i j}=\frac{\text { row sum } \times \text { column sum }}{\text { grand tolal }}
\]
\begin{tabular}{|l|c|c|c|c|}
\hline & BS Biology & \begin{tabular}{c}
BS Food \\
Technology
\end{tabular} & \begin{tabular}{c}
BS Computer \\
Science
\end{tabular} & \begin{tabular}{c}
BS Applied \\
Mathematics
\end{tabular} \\
\hline Male & & & & \\
\hline Female & & & & \\
\hline
\end{tabular}
For each cell of the next table, compute for:
\[
\frac{\left(O_{i}-E_{i}\right)^{2}}{E_{i}}
\]
Fill out the following table. Express your answers in decimal form and round off to the neurest hundredths.
\begin{tabular}{|l|c|c|c|c|}
\hline & BS Biology & \begin{tabular}{c}
BS Food \\
Technology
\end{tabular} & \begin{tabular}{c}
BS Computer \\
Science
\end{tabular} & \begin{tabular}{c}
BS Applied \\
Mathematics
\end{tabular} \\
\hline Male & & & & \\
\hline Female & & & & \\
\hline
\end{tabular}
From the table above, compute the value of the chi-square statistic.
Use the actual wolues to compute the statistic. Do not use the rounded values reflected in the table above. Round off onswer to the neorest hundredths.
\[
x_{c}^{2}=
\]
\( \square \)