Question

Given the sample proportion p=0.36
and the standard error of 0.04, which of the following shows an estimate of the population proportion using three standard errors?(1 point)
Responses

0.28≤p≤0.44

0.28 less-than-or-equal-to p less-than-or-equal-to 0.44

0.32≤p≤0.40

0.32 less-than-or-equal-to p less-than-or-equal-to 0.40

0.24≤p≤0.48

0.24 less-than-or-equal-to p less-than-or-equal-to 0.48

0.20≤p≤0.52

0.20 less-than-or-equal-to p less-than-or-equal-to 0.52
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Answer 1

Three standard errors = 3(0.04) = 0.12.
So the interval is 0.36 ± 0.12 = [0.24, 0.48].

Answer: 0.24 ≤ p ≤ 0.48.