Chapter 12, Problem 8STP

To determine

To find: Which conclusion is not valid.

Answer to Problem 8STP

Statement J is Not Valid.

Explanation of Solution

Given information:

The results of recent poll are organized in the matrix.

  $\begin{array}{l}\mathrm{.......................}\begin{array}{cc}For& Against\end{array}\\ \begin{array}{c}proposition1\\ proposition2\\ proposition3\end{array}\left[\begin{array}{cc}1553& 771\\ 689& 1633\\ 2088& 229\end{array}\right]\end{array}$

Given

  $\begin{array}{l}\mathrm{.......................}\begin{array}{cc}For& Against\end{array}\\ \begin{array}{c}proposition1\\ proposition2\\ proposition3\end{array}\left[\begin{array}{cc}1553& 771\\ 689& 1633\\ 2088& 229\end{array}\right]\end{array}$

From the above matrix we can say that

Number of Votes cast against proposition 1 $=771$

So, Statement F is correct it means Valid.

From above matrix we can say that

Number of votes for proposition 2 $=689$

So,

On comparing we can say that

Number of votes cast against proposition 1 is greater than Number of votes for proposition 2.

So, Statement G is valid.

Number of votes against proposition 2 $=1633$

So, on comparing votes against proposition-2 and votes for proposition-2

We can conclude that Proposition-2 has little chance of passing.

So, Statement H is Valid.

Number of Votes for proposition 1 $=1553$

Number of votes for proposition 3 $=2088$

So, on comparing we can say that Number of votes for proposition 3 Is Greater than Proposition-1.

So, Statement J is Not Valid.