Question

in a survey, 100 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.

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

Explanation:

Part (a)

Step 1: Find total shoppers with no e - mail account

To find the number of shoppers with no e - mail account, we add the number of shoppers with no e - mail account and computer access at home and the number of shoppers with no e - mail account and no computer access at home. From the table, the number of shoppers with no e - mail account and computer access at home is 7, and the number of shoppers with no e - mail account and no computer access at home is 53. So the total number of shoppers with no e - mail account is \(7 + 53=60\).

Step 2: Calculate the percentage

The total number of shoppers surveyed is 100. The formula for percentage is \(\text{Percentage}=\frac{\text{Number of shoppers with no e - mail account}}{\text{Total number of shoppers}}\times100\). Substituting the values, we get \(\frac{60}{100}\times100 = 60\%\).

Part (b)

Step 1: Find total shoppers with computer access at home

To find the number of shoppers with computer access at home, we add the number of shoppers with computer access at home and e - mail account and the number of shoppers with computer access at home and no e - mail account. From the table, the number of shoppers with computer access at home and e - mail account is 29, and the number of shoppers with computer access at home and no e - mail account is 7. So the total number of shoppers with computer access at home is \(29+7 = 36\).

Step 2: Calculate the percentage

The total number of shoppers surveyed is 100. Using the percentage formula \(\text{Percentage}=\frac{\text{Number of shoppers with computer access at home}}{\text{Total number of shoppers}}\times100\). Substituting the values, we get \(\frac{36}{100}\times100=36\%\).

Answer:

(a) \(60\%\)
(b) \(36\%\)