Difficulty: Hard

Average Score: 33%

A home inspector finds 3% of the homes in a community infected with termites. How should the home inspector's findings be interpreted?

Rationale

It is unlikely that a home in the community is infected with termites.

Given that only 3% of homes in the community are found to be infected with termites, this indicates that the vast majority, or 97%, are not infected. Therefore, it is reasonable to infer that any randomly selected home would likely not have a termite infestation.

A (It is likely that a home in the community is infected with termites.) YOUR ANSWER

This statement contradicts the data presented. With only 3% of homes infected, it implies that the likelihood of randomly selecting an infected home is very low. Thus, it is inaccurate to claim that it is likely for a home to be infected.

B (It is as likely as unlikely that a home in the community is infected with termites.) YOUR ANSWER

This choice misrepresents the statistical reality. With a 3% infection rate, the probability is skewed heavily toward homes being uninfected, making it incorrect to say that the likelihood of infection is equal to the likelihood of non-infection.

D (It is impossible that a home in the community is infected with termites.) YOUR ANSWER

This statement is factually incorrect since the finding indicates that 3% of homes are indeed infected. It is entirely possible for homes to have termite infestations, and claiming it is impossible disregards the evidence presented.

Conclusion

The findings of a 3% termite infestation rate in the community strongly suggest that it is unlikely for any randomly selected home to be infected. While a small percentage does indicate some risk, the overwhelming majority of homes are confirmed to be free of termites, making option C the most accurate interpretation. Understanding these statistics is crucial for homeowners and inspectors in assessing potential pest issues.

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