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In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.

In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.

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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In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.

# Testing Claims About Proportions ### License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we consider passenger cars and commercial trucks. Among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates (based on samples collected by the author). A reasonable hypothesis is that passenger car owners violate license plate laws at a higher rate than owners of commercial trucks. Use a 0.05 significance level to test that hypothesis. #### a. Test the claim using a hypothesis test. 1. **Null Hypothesis (H₀)**: Passenger car owners and truck owners violate license plate laws at the same rate. 2. **Alternative Hypothesis (H₁)**: Passenger car owners violate license plate laws at a higher rate than truck owners. ### Procedure 1. Identify test statistics, P-value, or critical value(s). 2. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. ### StatCrunch Display | alpha | z (Observed Value) | z (Critical Value) | P-value (one-tailed) | |-------|--------------------|--------------------|-----------------------| | 0.01 | 3.1225 | 2.3263 | 0.0009 | **Conclusion:** With a significance level of 0.01, the observed value (z = 3.1225) exceeds the critical value (z = 2.3263), and the P-value (0.0009) is less than alpha (0.01). Therefore, we reject the null hypothesis, supporting the claim that passenger car owners violate license plate laws at a higher rate than owners of commercial trucks.
Transcribed Image Text:# Testing Claims About Proportions ### License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we consider passenger cars and commercial trucks. Among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates (based on samples collected by the author). A reasonable hypothesis is that passenger car owners violate license plate laws at a higher rate than owners of commercial trucks. Use a 0.05 significance level to test that hypothesis. #### a. Test the claim using a hypothesis test. 1. **Null Hypothesis (H₀)**: Passenger car owners and truck owners violate license plate laws at the same rate. 2. **Alternative Hypothesis (H₁)**: Passenger car owners violate license plate laws at a higher rate than truck owners. ### Procedure 1. Identify test statistics, P-value, or critical value(s). 2. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. ### StatCrunch Display | alpha | z (Observed Value) | z (Critical Value) | P-value (one-tailed) | |-------|--------------------|--------------------|-----------------------| | 0.01 | 3.1225 | 2.3263 | 0.0009 | **Conclusion:** With a significance level of 0.01, the observed value (z = 3.1225) exceeds the critical value (z = 2.3263), and the P-value (0.0009) is less than alpha (0.01). Therefore, we reject the null hypothesis, supporting the claim that passenger car owners violate license plate laws at a higher rate than owners of commercial trucks.
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