Question

the website designer of a company surveys 75 company employees at random, asking, “should the website have a different layout?” the survey results show that 80% of employees agree.
which statement is true?

○ because the designer surveys the youngest employees, the survey is not biased and is representative of the larger population.
○ because the designer surveys the youngest employees, the survey is biased and not representative of the larger population.
○ because the designer surveys employees at random, the survey is not biased and is representative of the larger population.
○ because the designer surveys employees at random, the survey is biased and not representative of the larger population.

Explanation:

To determine the correct statement, we analyze the survey method:

• Random sampling (surveying employees at random) is a technique to reduce bias and make the sample representative of the larger population.
• If the designer surveyed only the youngest employees, that would be a biased sample (as it doesn't represent all age groups).
• The first two options are incorrect because they mention surveying the youngest employees (which would introduce bias), and the fourth option is incorrect because random sampling is not biased and should be representative. The third option correctly states that random sampling makes the survey unbiased and representative.

Answer:

C. Because the designer surveys employees at random, the survey is not biased and is representative of the larger population. (Note: Assuming the options are labeled A, B, C, D with the third option as C. If the original options have different labels, adjust accordingly, but the content is "Because the designer surveys employees at random, the survey is not biased and is representative of the larger population.")