In a poll of 1,578 randomly selected American adults, 44.8% of the respondents said that airlines should allow in-flight calls on airplanes. The poll reported a margin of error of 2.5% at a 95% confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?Choose 1 answer:(A) 40%(B) 43%(C) 48%(D) 95%
Q. In a poll of 1,578 randomly selected American adults, 44.8% of the respondents said that airlines should allow in-flight calls on airplanes. The poll reported a margin of error of 2.5% at a 95% confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?Choose 1 answer:(A) 40%(B) 43%(C) 48%(D) 95%
Calculate lower bound: Calculate the lower bound of the confidence interval using the given percentage and margin of error.Lower bound = Percentage - Margin of error= 44.8%−2.5%= 42.3%
Calculate upper bound: Calculate the upper bound of the confidence interval using the given percentage and margin of error.Upper bound = Percentage + Margin of error= 44.8%+2.5%= 47.3%
Determine answer choices: Determine which of the given answer choices falls within the calculated confidence interval.The confidence interval is from 42.3% to 47.3%. The answer choices within this range are:(A) 40% (outside the range)(B) 43% (inside the range)(C) 48% (outside the range)(D) 95% (outside the range)
Select likely percentage: Select the most likely percentage based on the confidence interval.The only answer choice that falls within the confidence interval is (B) 43%.
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