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.

 E-Mail accountNo e-mail accountComputer access at home
30
6
No computer access at home
4
60

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

(a)
%
(b)
%

1 answer

To solve the questions, we need to analyze the data provided in the table.

The survey results can be summarized as follows:

  • Number of shoppers with a computer at home and an e-mail account: 30
  • Number of shoppers with a computer at home and no e-mail account: 6
  • Number of shoppers without a computer at home and an e-mail account: 4
  • Number of shoppers without a computer at home and no e-mail account: 60

Total breakdown:

  • Total number of shoppers with a computer at home:

    • With e-mail account: 30
    • Without e-mail account: 6
    • Total with computer access = 30 + 6 = 36
  • Total number of shoppers without a computer at home:

    • With e-mail account: 4
    • Without e-mail account: 60
    • Total without computer access = 4 + 60 = 64

Total shoppers surveyed:

  • \( 36 + 64 = 100 \) (as mentioned)

(a) What percentage of the shoppers have an e-mail account?

Total number of shoppers with an e-mail account:

  • With computer access: 30
  • Without computer access: 4
  • Total with e-mail accounts = 30 + 4 = 34

Now to find the percentage: \[ \text{Percentage with e-mail account} = \left(\frac{\text{Total with e-mail accounts}}{\text{Total shoppers}} \right) \times 100 \] \[ = \left(\frac{34}{100}\right) \times 100 = 34% \]

(b) What percentage of the shoppers do not have computer access at home?

Total number of shoppers without computer access:

  • Total without computer access = 64 (as calculated above)

Now to find the percentage: \[ \text{Percentage without computer access} = \left(\frac{\text{Total without computer access}}{\text{Total shoppers}} \right) \times 100 \] \[ = \left(\frac{64}{100}\right) \times 100 = 64% \]

Final Answers:

(a) 34%
(b) 64%