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It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses Ho: p = 0.50 versus H;: p+ 0.50, where p = the true proportion of all flips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = -0.80 and the P-value is 0.2119. What conclusion should the student make using the a = 0.10 significance level? Because the test statistic is less than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the P-value is greater than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the test statistic is less than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses Ho: p = 0.50 versus H;: p+ 0.50, where p = the true proportion of all flips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = -0.80 and the P-value is 0.2119. What conclusion should the student make using the a = 0.10 significance level? Because the test statistic is less than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the P-value is greater than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the test statistic is less than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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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It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses Ho: p = 0.50 versus Hai p+ 0.50, where p = the true proportion of all fips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = -0.80 and the P-value is 0.2119. What conclusion should the student make using the a = 0.10 significance level? Because the test statistic is less than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the test statistic is less than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
Transcribed Image Text:It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses Ho: p = 0.50 versus Hai p+ 0.50, where p = the true proportion of all fips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = -0.80 and the P-value is 0.2119. What conclusion should the student make using the a = 0.10 significance level? Because the test statistic is less than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. Because the P-value is greater than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. O Because the test statistic is less than a = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
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