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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%

In a poll of 11,578578 randomly selected American adults, 44.8% 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% 2.5 \% at a 95% 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?\newlineChoose 11 answer:\newline(A) 40% 40 \% \newline(B) 43% 43 \% \newline(C) 48% 48 \% \newline(D) 95% 95 \%

Full solution

Q. In a poll of 11,578578 randomly selected American adults, 44.8% 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% 2.5 \% at a 95% 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?\newlineChoose 11 answer:\newline(A) 40% 40 \% \newline(B) 43% 43 \% \newline(C) 48% 48 \% \newline(D) 95% 95 \%
  1. Calculate lower bound: Calculate the lower bound of the confidence interval using the given percentage and margin of error.\newlineLower bound = Percentage - Margin of error\newline= 44.8%2.5%44.8\% - 2.5\%\newline= 42.3%42.3\%
  2. Calculate upper bound: Calculate the upper bound of the confidence interval using the given percentage and margin of error.\newlineUpper bound = Percentage + Margin of error\newline= 44.8%+2.5%44.8\% + 2.5\%\newline= 47.3%47.3\%
  3. Determine answer choices: Determine which of the given answer choices falls within the calculated confidence interval.\newlineThe confidence interval is from 42.3%42.3\% to 47.3%47.3\%. The answer choices within this range are:\newline(A) 40%40\% (outside the range)\newline(B) 43%43\% (inside the range)\newline(C) 48%48\% (outside the range)\newline(D) 95%95\% (outside the range)
  4. Select likely percentage: Select the most likely percentage based on the confidence interval.\newlineThe only answer choice that falls within the confidence interval is (B) 43%43\%.

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