Mathematics, 17.04.2021 15:40, charityclark3935
A biologist studying trees constructed the confidence interval (0.14, 0.20) to estimate the proportion of trees in a large forest that are dead but still standing. Using the same confidence level, the interval was later revised because the sample proportion had been miscalculated. The correct sample proportion was 0.27. Which of the following statements about the revised interval based on the correct sample proportion is true?
A) The revised interval is narrower than the original interval because the correct sample proportion is farther from 0.5 than the calculated proportion is
B) The revised interval is narrower than the original interval because the correct sample proportion is closer to 0.5 than the mis-calculated proportion is
C) The revised interval is wider than the original interval because the correct sample proportion is farther from 0.5 than the mis-calculated proportion is
D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.
E) The revised interval has the same width as the original interval.
Answers: 3
, and a confidence level of 
, we have the following confidence interval of proportions.
.
, the margin of error is larger as 0.27 is closer to 0.5 than 0.17. Thus, the revised interval will be wider, and the correct answer is given by option D.
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A biologist studying trees constructed the confidence interval (0.14, 0.20) to estimate the proporti...
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