Question

in a survey, 150 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.

	e - mail account	no e - mail account
no computer access at home	7	80

(a) what percentage of the shoppers do not have computer access at home?
(b) what percentage of the shoppers do not have an e - mail account?
(a) \\(\square\\%\\)
(b) \\(\square\\%\\)

Explanation:

Part (a)

Step1: Find total shoppers with no computer access

To find the number of shoppers with no computer access at home, we add the number of those with no computer access and an e - mail account (\(7\)) and those with no computer access and no e - mail account (\(80\)). So, \(7 + 80=87\).

Step2: Calculate the percentage

The total number of shoppers is \(150\). The formula for percentage is \(\text{Percentage}=\frac{\text{Number of shoppers with no computer access}}{\text{Total number of shoppers}}\times100\%\). Substituting the values, we get \(\frac{87}{150}\times 100\% = 0.58\times100\%=58\%\).

Part (b)

Step1: Find total shoppers with no e - mail account

To find the number of shoppers with no e - mail account, we add the number of those with computer access and no e - mail account (\(16\)) and those with no computer access and no e - mail account (\(80\)). So, \(16 + 80 = 96\).

Step2: Calculate the percentage

Using the percentage formula \(\text{Percentage}=\frac{\text{Number of shoppers with no e - mail account}}{\text{Total number of shoppers}}\times100\%\). Substituting the values, we get \(\frac{96}{150}\times100\%=0.64\times 100\% = 64\%\).

Answer:

(a) \(58\%\)
(b) \(64\%\)