Question

The table below provides data on the political affiliation and opinion about the death penalty of $850$randomly selected voters from a congressional district.

Which of the following does not support the conclusion that being a Republican and favoring the death penalty are not independent?

(a) $\frac{299}{494}\ne \frac{98}{356}$ (d) $$\begin{gathered} \frac{ \\ 299}{397}\ne \frac{77}{248} \end{gathered}$$

(b) $\frac{299}{494}\ne \frac{397}{850}$ (e) $\frac{\left(397\right)\left(494\right)}{850}\ne 299$

(c)$\frac{494}{850}\ne \frac{299}{397}$

Short answer

The correct answer is (d) =$$\begin{gathered} \frac{ \\ 299}{397}\ne \frac{77}{248} \end{gathered}$$.

Step-by-step solution

Step 1:Given Information

We have to given the table.

Explanation

If Republicans and favoring the death penalty are not independent, so the ratios of each category to the other (combined ) category should be not equal.

Hence, (d) $$\begin{gathered} \frac{ \\ 299}{397}\ne \frac{77}{248} \end{gathered}$$does not support not independence, because there is a third category "other" that was not taken into account.