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What proportion of drivers would you expect to fail a driving test in a sample of size 10? Size 20? Size 40? Size 100?

What proportion of drivers would you expect to fail a driving test in a sample of size 10? Size 20? Size 40? Size 100?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What proportion of drivers would you expect to fail a driving test in a sample of size 10? Size 20? Size 40? Size 100?
P17. The GMAC Insurance National Driver's Test found that about 10% of drivers ages 16 to 65 would fail a written driver's test if they had to take one today. [Source: Insurance Journal, 2005, www insurancejournal.com.] The sampling distributions in Display 7.44 give the proportion of drivers who would fail for samples of size 10, 20, 40, and 100 taken from a population like this one, where p = 0.10. Relative Frequency Relative Frequency 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 0.20 0.16 0.08 0.04 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for 10 and p = 0.10 MTTIFITT 0.0 0.2 0.4 0.6 0.8 10 Sampling Distribution for 40 and p = 0.10 Display 7.44 Relative Frequency Relative Frequency 0.30 0.25 0.20- 0.15- 0.10- 0.05- 0.00 0.14 0.08 0.01 0.02 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for #20 and p = 0.10 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for n 100 and p = 0.10 Exact sampling distributions of p for samples of size 10, 20, 40, and 100 when p0.10. B b. C. d.
Transcribed Image Text:P17. The GMAC Insurance National Driver's Test found that about 10% of drivers ages 16 to 65 would fail a written driver's test if they had to take one today. [Source: Insurance Journal, 2005, www insurancejournal.com.] The sampling distributions in Display 7.44 give the proportion of drivers who would fail for samples of size 10, 20, 40, and 100 taken from a population like this one, where p = 0.10. Relative Frequency Relative Frequency 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 0.20 0.16 0.08 0.04 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for 10 and p = 0.10 MTTIFITT 0.0 0.2 0.4 0.6 0.8 10 Sampling Distribution for 40 and p = 0.10 Display 7.44 Relative Frequency Relative Frequency 0.30 0.25 0.20- 0.15- 0.10- 0.05- 0.00 0.14 0.08 0.01 0.02 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for #20 and p = 0.10 0.0 0.2 0.4 0.6 0.8 1.0 Sampling Distribution for n 100 and p = 0.10 Exact sampling distributions of p for samples of size 10, 20, 40, and 100 when p0.10. B b. C. d.
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