Two competing airlines, Alpha and Beta, fly a route between Des Moines, lowa, and Wichita, Kansas. Each airline claims to have a lower percentage of flights that arrive late. Let p, be the proportion of Alpha's flights that arrive late and P2 the proportion of Beta's flights that arrive late. You are asked to observe a random sample of arrivals for each airline to estimate p, - P, with a 90 % confidence level and a margin of error of estimate of 0.04. How many arrivals for each airline would you have to observe? (Assume that you will observe the same number of arrivals, n, for each airline. To be sure of taking a large enough sample, usep, = P2 = 0.5 in your calculations for n.) Round your answer to the nearest integer. n = i

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Two competing airlines, Alpha and Beta, fly a route between Des Moines, lowa, and Wichita, Kansas. Each airline claims to have a
lower percentage of flights that arrive late. Let p, be the proportion of Alpha's flights that arrive late and p2 the proportion of Beta's
flights that arrive late.
You are asked to observe a random sample of arrivals for each airline to estimate p, – P2 with a 90 % confidence level and a margin
of error of estimate of 0.04. How many arrivals for each airline would you have to observe? (Assume that you will observe the same
number of arrivals, n, for each airline. To be sure of taking a large enough sample, use p, = P2 = 0.5 in your calculations for n.)
Round your answer to the nearest integer.
Transcribed Image Text:Two competing airlines, Alpha and Beta, fly a route between Des Moines, lowa, and Wichita, Kansas. Each airline claims to have a lower percentage of flights that arrive late. Let p, be the proportion of Alpha's flights that arrive late and p2 the proportion of Beta's flights that arrive late. You are asked to observe a random sample of arrivals for each airline to estimate p, – P2 with a 90 % confidence level and a margin of error of estimate of 0.04. How many arrivals for each airline would you have to observe? (Assume that you will observe the same number of arrivals, n, for each airline. To be sure of taking a large enough sample, use p, = P2 = 0.5 in your calculations for n.) Round your answer to the nearest integer.
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