During the same week, two independent surveys randomly selected occupied households from all occupied households in a city. Each survey asked whether the household uses a home composting bin.
Survey A sampled 600 households and estimated that 47% of all occupied households in the city use a home composting bin, with a margin of error of 5 percentage points.
Survey B sampled 1,200 households and estimated that 51% of all occupied households in the city use a home composting bin, with a margin of error of 3 percentage points.
Which choice identifies all appropriate conclusions?
I. A true proportion of 49% is plausible according to both survey results.
II. Because Survey B used a larger sample and has a smaller margin of error, its estimate of 51% must be closer to the true proportion than Survey A's estimate of 47%.
III. Because the plausible ranges for the two survey results overlap, the results alone do not indicate that the estimates are inconsistent.