Question

the members of a schools latinx club want to know how many students at the school speak spanish at home. each club member surveys a random sample of 50 students to find out. based on their samples, elías infers that 44% of students at the school speak spanish at home and valeria infers that 36% of students at the school speak spanish at home. what best explains why the two inferences are different? you can expect variability in different samples that are chosen from a population. it is likely that one of the samples was not chosen correctly. some students who responded to the survey may not have answered honestly. the two samples were chosen from two different populations.

Explanation:

When sampling from a population, different samples can yield different results due to natural variability. Even with random sampling, there will be differences in the characteristics (like the percentage of students speaking Spanish at home) between samples. The key concept here is sampling variability.

• The first option about expecting variability in different samples from a population is correct.
• There's no indication that one sample was chosen incorrectly (no evidence in the problem).
• There's no mention of students not answering honestly.
• Both samples are from the same population (the school's students).

Answer:

You can expect variability in different samples that are chosen from a population.