In the article posted in Module 4, authored by Sommerfeld (with title "The Binomial and Hypergeometric Probability Distributions in Jury Selection," the authors show how the Binomial and the Hypergeometric models can be used to show that a jury panel is biased. A way to do that is to use the population parameter p (probability that an individual in the population has the characteristic of interest) then calculate the probability that in a random sample of size n, we would find a given number of individuals with that characteristic. For example, if in San Joaquin County 5% of the population are African American, and we choose a random sample of size 105 from that population, using the Binomial model we can calculate that the Probability of having 0 African American by chance in the sample is 0.00458, using the binomial formula. You can use the app posted in Module 5 to calculate. https://homepage.divms.uiowa.edu/~mbognar/applets/bin.html The fact that by chance you are not likely to see 0 African Americans in the sample indicates that the panel is biased, not random (of course, statisticians could come up with additional tests to be sure, but probability that low says that if the random sample is really random, that is not possible). With that information given above, what would be the expected number of African Americans in that sample of 105 from San Joaquin County?
In the article posted in Module 4, authored by Sommerfeld (with title "The Binomial and Hypergeometric Probability Distributions in Jury Selection," the authors show how the Binomial and the Hypergeometric models can be used to show that a jury panel is biased. A way to do that is to use the population parameter p (probability that an individual in the population has the characteristic of interest) then calculate the probability that in a random sample of size n, we would find a given number of individuals with that characteristic. For example, if in San Joaquin County 5% of the population are African American, and we choose a random sample of size 105 from that population, using the Binomial model we can calculate that the Probability of having 0 African American by chance in the sample is 0.00458, using the binomial formula. You can use the app posted in Module 5 to calculate. https://homepage.divms.uiowa.edu/~mbognar/applets/bin.html The fact that by chance you are not likely to see 0 African Americans in the sample indicates that the panel is biased, not random (of course, statisticians could come up with additional tests to be sure, but probability that low says that if the random sample is really random, that is not possible). With that information given above, what would be the expected number of African Americans in that sample of 105 from San Joaquin County?
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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Transcribed Image Text:In the article posted in Module 4, authored by Sommerfeld (with title "The Binomial and Hypergeometric Probability Distributions in Jury
Selection," the authors show how the Binomial and the Hypergeometric models can be used to show that a jury panel is biased.
A way to do that is to use the population parameter p (probability that an individual in the population has the characteristic of interest)
then calculate the probability that in a random sample of size n, we would find a given number of individuals with that characteristic.
For example, if in San Joaquin County 5% of the population are African American, and we choose a random sample of size 105 from that
population, using the Binomial model we can calculate that the Probability of having 0 African American by chance in the sample is
0.00458, using the binomial formula. You can use the app posted in Module 5 to
calculate. https://homepage.divms.uiowa.edu/~mbognar/applets/bin.html
The fact that by chance you are not likely to see 0 African Americans in the sample indicates that the panel is biased, not random (of
course, statisticians could come up with additional tests to be sure, but probability that low says that if the random sample is really
random, that is not possible).
With that information given above, what would be the expected number of African Americans in that sample of 105 from San Joaquin
County?
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