A survey of 464 US adults asked each participant to answer the question, "How far will a car travel in 45 minutes of it travels a constant speed of 40 miles per hour?" The correct answer was given by 254 adults. a. Assuming that the sample is random, find a 95% confidence interval for the proportion of adults who correctly answered the question. b. What sample size is necessary to find a 99% confidence interval with a margin of error within 4%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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4. A survey of 464 US adults asked each participant to answer the question, "How far will a car
travel in 45 minutes of it travels a constant speed of 40 miles per hour?" The correct answer was
given by 254 adults.
a. Assuming that the sample is random, find a 95% confidence interval for the proportion
of adults who correctly answered the question.
b. What sample size is necessary to find a 99% confidence interval with a margin of error
within 4%?
Transcribed Image Text:4. A survey of 464 US adults asked each participant to answer the question, "How far will a car travel in 45 minutes of it travels a constant speed of 40 miles per hour?" The correct answer was given by 254 adults. a. Assuming that the sample is random, find a 95% confidence interval for the proportion of adults who correctly answered the question. b. What sample size is necessary to find a 99% confidence interval with a margin of error within 4%?
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