Question

a teacher wants to know the favorite school subject of all the students in the school. she only surveys students in her advanced math class. how might this sample affect the results?

the sample is likely to be representative because it includes students.

the sample is likely to be biased because it only includes students from one class

the sample is random because all students were given an equal chance to participate.

the sample size is too large, which might introduce bias.

Explanation:

To determine the effect of the sample, we analyze each option:

• The first option is incorrect because a sample from only one advanced math class is not representative of all students in the school (students in other classes/grades with different interests are excluded).
• The second option is correct. A sample that only includes students from one class (advanced math) is biased. Students in an advanced math class may have a higher preference for math compared to the general student population, so the results will not accurately reflect the favorite subjects of all students.
• The third option is incorrect. The teacher only surveyed her advanced math class, so not all students had an equal chance to participate (students in other classes were not included), so it is not a random sample.
• The fourth option is incorrect. The sample size here is too small (only one class) and bias comes from the non - representative nature of the sample, not a large sample size.

Answer:

B. The sample is likely to be biased because it only includes students from one class