Chapter 11.2, Problem 56E

To determine

To explain: The cell that contributes the most to the chi-square statistic.

Answer to Problem 56E

The correct option is (d) Male, almost certain.

Explanation of Solution

To determine the cell that contributes more to the test statistic that need to be computed based on the expected frequency.

The chi-square test formula is

  ${\chi }^2={\displaystyle \sum \frac{{\left(O_i-E_i\right)}^2}{E_i}}$

The Expected frequency formula is given below as,

  $E_i=\frac{\text{Row total}\times \text{Column total}}{\text{Grand total}}$

The expected frequency for observations is calculated as follows:

  $\begin{array}{l}{E}_1=\frac{222\times 2625}{4877}\\ E_1=119.5\end{array}$

  

From the above table, the last column represents the each cell contribution to test statistic.

It can be seen that 20.51 is the largest value among them. It represents the value of Male, almost certain.

Thus, Male, almost certain cell contributes most to the test statistic.

Therefore correct option is (d) Male, almost certain.