To determine which statement is true based on the given data, we need to compare the probabilities of a person preferring in-person communication having no internet access versus having internet access.
Here is a step-by-step solution:
1. Look at the probabilities of in-person communication for different internet access statuses:
- The probability of preferring in-person communication and having no internet access is [tex]\(0.31\)[/tex].
- The probability of preferring in-person communication and having internet access is [tex]\(0.20\)[/tex].
2. Compare these probabilities:
- To find which scenario is more likely, we compare [tex]\(0.31\)[/tex] (no internet access) to [tex]\(0.20\)[/tex] (internet access).
3. Draw the conclusion from the comparison:
- Since [tex]\(0.31 > 0.20\)[/tex], a person who prefers to communicate with friends in person is indeed more likely to have no internet access than to have internet access.
Therefore, the correct statement is:
(A) A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
Hence, based on the data, statement (A) must be true.
