In a survey, 300 shoppers were asked whether they have access to a computer at home and if they have a personal e-mail account. Their responses are summarized in the following table.

\begin{tabular}{|c|c|c|}
\hline
& E-mail account & No e-mail account \\
\hline
Computer access at home & 96 & 36 \\
\hline
No computer access at home & 12 & 156 \\
\hline
\end{tabular}

(a) What percentage of the shoppers do not have computer access at home?
\(\square\) \(56\% \)

(b) What percentage of the shoppers do not have an e-mail account?
[tex]\(\square\)[/tex] [tex]\(64\% \)[/tex]



Answer :

Let's analyze the given survey data to find the required percentages.

The data in the table can be summarized as follows:
[tex]\[ \begin{array}{|c|c|c|} \hline & \text{E-mail account} & \text{No e-mail account} \\ \hline \text{Computer access at home} & 96 & 36 \\ \hline \text{No computer access at home} & 12 & 156 \\ \hline \end{array} \][/tex]

### Question (a): What percentage of the shoppers do not have computer access at home?

To find this, we must first determine the total number of shoppers who do not have computer access at home. According to the table:
[tex]\[ \text{Shoppers without computer access} = 12 (\text{with e-mail account}) + 156 (\text{without e-mail account}) = 168 \][/tex]

Given that the total number of shoppers is 300, the percentage of shoppers who do not have computer access at home is calculated by:
[tex]\[ \text{Percentage without computer access} = \left( \frac{\text{shoppers without computer access}}{\text{total shoppers}} \right) \times 100 \][/tex]
Substituting the known values,
[tex]\[ \text{Percentage without computer access} = \left( \frac{168}{300} \right) \times 100 = 56\% \][/tex]

### Question (b): What percentage of the shoppers do not have an e-mail account?

To find this, we must determine the total number of shoppers who do not have an e-mail account. According to the table:
[tex]\[ \text{Shoppers without e-mail account} = 36 (\text{with computer access}) + 156 (\text{without computer access}) = 192 \][/tex]

Given that the total number of shoppers is 300, the percentage of shoppers who do not have an e-mail account is calculated by:
[tex]\[ \text{Percentage without e-mail account} = \left( \frac{\text{shoppers without e-mail account}}{\text{total shoppers}} \right) \times 100 \][/tex]
Substituting the known values,
[tex]\[ \text{Percentage without e-mail account} = \left( \frac{192}{300} \right) \times 100 = 64\% \][/tex]

Thus, the answers are:
(a) 56% of the shoppers do not have computer access at home.
(b) 64% of the shoppers do not have an e-mail account.