Q. 1.1 - The Practice of Statistics for AP

Question

Use the data in the two-way table on page 12 to calculate the marginal distribution (in percents) of gender. 

Step-by-Step Solution

Answer

The Marginal Distribution for Female $49.047\%$ and for male marginal distribution is $50.953\%$

Step 1: The given information of two way table

On page 12 given information of two way table is;

		Gender
Opinions	Male	Female	Total
Almost no chance	96	98	194
Same chance with no probability	426	286	712
50-50 chance	696	720	1416
Good chance	663	758	1421
Certain	486	597	1083
Total	2367	2459	4826

Step 2: Findings of Marginal Distribution

Thus the Calculated Marginal distribution is;

For females the distribution is;

 $\begin{array}{rcl}Female& =& \frac{2367}{4826}\\ & =& 0.49047\\ & =& 49.047\%\end{array}$

 

For males the distribution is;

$\begin{array}{rcl}Male& =& \frac{2459}{4826}\\ & =& 0.50953\\ & =& 50.953\%\end{array}$