In the class legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. The baseline hypothesis, or null, was that the jury selection process was random. The test hypothesis, or alternative, was the process was not random (suggesting bias). Find the probability of getting 7 or fewer minorities in a world where the jury pool selection process was supposed to be random. Based on the probability you found, which of the following statements is correct based on our discussion of the Rare Event Rule? a. We would Reject the baseline assumption of “process was not random” b. We would Fail to Reject the baseline assumption of “process was not random” c. We would Fail to Reject the baseline assumption of “process was random” d. We would Reject the baseline assumption of “process was random”
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
In the class legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly
selected from a population in which 27% were minorities. Among the 90 people selected, 7 were
minorities. The baseline hypothesis, or null, was that the jury selection process was random.
The test hypothesis, or alternative, was the process was not random (suggesting bias).
Find the probability of getting 7 or fewer minorities in a world where the jury pool selection process
was supposed to be random. Based on the probability you found, which of the following statements is correct based on our discussion of the Rare
a. We would Reject the baseline assumption of “process was not random”
b. We would Fail to Reject the baseline assumption of “process was not random”
c. We would Fail to Reject the baseline assumption of “process was random”
d. We would Reject the baseline assumption of “process was random”
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