Question

A researcher wants to estimate the average distance that students at a large community college live from campus. To find out, she surveys a simple random sample of students from the registrar’s database. 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. 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.
c. The survey result will be biased due to undercoverage.
d. The survey result will be free from bias because a simple random sample was selected.
e. 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.

Answer 1

Answer:

d. The survey result will be free from bias because a simple random sample was selected.

e. 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.

Step-by-step explanation:

Simple Random Sampling is the sampling where samples are chosen randomly, where each and every unit has an equal chance of being selected in a sample.

a. This option is false because this sampling method is not affected by voluntary response bias.

b. Since the larger sample size gives the more accurate estimate. Thus, this option is also false.

c. No, this survey result will be not biased due to undercoverage. Thus, this option is also false.

d. Yes, since here each unit has equal and independent chance of being selected in the sample. Thus, this survey is free from bias and it is correct option.

e. Since the larger sample size gives the more accurate estimate. Thus, this is also correct option.