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Of 511 southern California homes surveyed for earthquake preparedness, 338 did NOT meet minimum recommendations. What is the point estimate for the proportion of homes that do NOT meet the minimum recommendations?
A0.3386 of the homes
B173 of the homes
C338 of the homes
D0.6614 of the homes
Answer & Solution
Correct answer: D. 0.6614 of the homes
1. The point estimate for a proportion is the count of interest divided by the sample size.
2. Here 338 of 511 homes did not meet the minimum, so p' = 338/511.
3. 338/511 ≈ 0.6614.
4. Option B and C report raw counts rather than proportions, and option B is the complementary proportion, the share that did meet the recommendations.
_Source: OpenStax Introductory Statistics (CC BY 4.0), Ch 8 "Confidence Intervals", section 8.3 A Population Proportion_
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