A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times. The P–value for the test of the hypotheses, H0:p=0.17 and Ha:p>0.17, is 0.19. What is the correct interpretation of this value? There is a 19% chance that the true proportion is 0.17.
A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times. The P–value for the test of the hypotheses, H0:p=0.17 and Ha:p>0.17, is 0.19. What is the correct interpretation of this value? There is a 19% chance that the true proportion is 0.17.
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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A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times. The P–value for the test of the hypotheses, H0:p=0.17 and Ha:p>0.17, is 0.19. What is the correct interpretation of this value?
There is a 19% chance that the true proportion is 0.17.
There is a 19% chance of getting a sample proportion of 0.20 or greater by chance alone if 0.17 is the true proportion.
Assuming 0.17 is the true proportion of the cube landing with a 6 facing up, this sample proportion can be expected by chance 19% of the time.
Assuming the sample proportion of the cube landing with a 6 facing up is 0.24 or more, there is a 19% chance that the true proportion of the cube landing with a 6 facing up is 0.17.
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