Find the indicated expected frequency.
-The contingency table below shows the results of a random sample of 400 state representatives that was conducted to see whether their opinions on a bill are related to their party affiliation. $$\begin{array} { l | c c c }
&{ \quad\quad\quad\quad\quad\quad\text { Opinion } } \
\hline \text { Party } & \text { Approve } & \text { Disapprove } & \text { No Opinion } \
\text { Republican } & 84 & 40 & 28 \
\text { Democrat } & 100 & 48 & 36 \
\text { Independent } & 20 & 32 & 12
\end{array}$$ Find the expected frequency for the cell $$\mathrm { E } _ { 2,2 } \text {. }$$ Round to the nearest tenth if necessary.
A)55.2
B)45.6
C)93.84
D)34.96

Question

Find the indicated expected frequency.
-The contingency table below shows the results of a random sample of 400 state representatives that was conducted to see whether their opinions on a bill are related to their party affiliation. $$\begin{array} { l | c c c } 
&{ \quad\quad\quad\quad\quad\quad\text { Opinion } } \
\hline \text { Party } & \text { Approve } & \text { Disapprove } & \text { No Opinion } \
\text { Republican } & 84 & 40 & 28 \
\text { Democrat } & 100 & 48 & 36 \
\text { Independent } & 20 & 32 & 12
\end{array}$$ Find the expected frequency for the cell $$\mathrm { E } _ { 2,2 } \text {. }$$ Round to the nearest tenth if necessary.
A)55.2
B)45.6
C)93.84
D)34.96

Quizplus · Accepted Answer

The expected frequency for a cell is the product of the row total and the column total, divided by the total number of observations. For cell E2,2, the row total is 148, the column total is 80, and the total number of observations is 400. Therefore, the expected frequency for cell E2,2 is (148 * 80) / 400 = 29.6. Rounded to the nearest tenth, this is 29.6.

Find the Indicated Expected Frequency Find the Expected Frequency for the Cell