3. Alpha Airlines claims that only 15% of its flights arrive more than 10 minutes late. Let p be the proportion of all of Alpha’s flights that arrive more than 10 minutes late. Suppose we take a random sample of 50 flights by Alpha Airlines.and we found that there are 5 flights  which arrived more than 10 minutes late. a. construct a 90% confidence interval for the proportion of all of Alpha’s flights that arrive more than 10 minutes late. b. Test at the 2% significance level whether the Alpha Airlines’s claim is true

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3. Alpha Airlines claims that only 15% of its flights arrive more than 10 minutes late. Let p
be the proportion of all of Alpha’s flights that arrive more than 10 minutes late. Suppose
we take a random sample of 50 flights by Alpha Airlines.and we found that there are 5 flights 

which arrived more than 10 minutes late.
a. construct a 90% confidence interval for the proportion of all of Alpha’s flights that arrive
more than 10 minutes late.
b. Test at the 2% significance level whether the Alpha Airlines’s claim is true

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