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What proportion of students at your school use Twit? To find out, you survey a simple random sample of students from the school roster.

Which of the following is a true statement about the sample result?

A)The survey result will be biased due to voluntary response bias.
B)The survey result will be biased due to undercoverage.
C)An SRS of 100 students is more likely than an SRS of 50 students to get a sample result close to the true population value.
D)An SRS of 50 students is more likely than an SRS of 100 students to get a sample result close to the true population value.
E)The survey result will be free from bias because a simple random sample was selected.

1 Answer

5 votes

The survey result may be biased due to undercoverage if it excludes certain student groups not well-represented on the roster, making option B the correct choice.

The correct answer is B) The survey result will be biased due to undercoverage.

Undercoverage occurs when certain groups within the population are not adequately represented in the sample. In this case, if the survey is conducted using a simple random sample of students from the school roster, it may inadvertently exclude certain groups of students who are less likely to be present on the roster at the time of the survey. For example, if the survey is conducted during a specific class or time period, it may miss students who are enrolled in other classes or have different schedules.

Option A is incorrect because voluntary response bias refers to bias introduced when individuals choose whether to participate in a survey, and it's not relevant to a simple random sample.

Option C is incorrect because the size of the sample (100 students vs. 50 students) does not affect the likelihood of obtaining a sample result close to the true population value in a simple random sample.

Option D is also incorrect for the same reason as option C.

Option E is also incorrect for the same reason as option A.

Therefore, option B is the most appropriate choice, as undercoverage could lead to a biased survey result.

So, the correct option is B:The survey result will be biased due to undercoverage.

User Apoorv Pandey
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